How To Calculate Square Roots - Numerals That Changed Math Forever 

Thank you!

@@合合合合合合合合合合 🤣🤣🤣🤣

​@@合合合合合合合合合合😂😂

Thank you

@@dollyrupadevich4145 why u saying thank you lmfao

@@sahilverma136 lol true

@@sahilverma136 you've missed the joke

@@sahilverma136 tujhe joke nhi chamka bro😕😐

@@xiaoshen194 what kind of joke?

@@sahilverma136 How would Presh *remember* an algoritm from 1876 when he wasn't alive? You completely missed the joke...

Which is how they teach it in schools

With a different method u can find the square root of any number, and at the same time discover if it is a whole square

True, but this is very useful for tests, since if you get a question asking for the square root of a number, chances are it’ll be a perfect square if it’s a non-calculator test. Not the most practical overall, but I don’t think that’s the point of the algorithm.

@@lukas-po8yn of course 😄

@Lauren Doe Do you have a better technique?

@@ikigu yes.... a calculator. They really are ubiquitous now.

Completely agree

You can always use logs.

How?

Same

There’s a method called long division, but that’s really confusing

😂

Me 😅

😢me

me💀😂

Me…😅

Ur welcome

@@maybefunny3196 😂😂😂

@@cottoncandycloudsart bc they donated 2 dollars….. duh

@@CoronaLisaa It was a test😂😂Next time I try $5 and see how many likes I can get.

@@TopWorldTalentHD then you're basically a verified bot jk

kinda cool

or even easier in this case anyway: the square root must be less than 4 and greater than3. Since we know there is an exact answer, the nswer can only be 3.6 or 3.4; we then try each of these and seet 3.4 is the correct one. The best method is one to work for a whole range of numbers where the earier methods may not work.

That’s what I was thinking too

it feels "lucky" that it just so happens that the fraction reduced to lowest terms just so happens to have perfect square numerator and denominator

@@swng314 I think it is because the number is aimed to be a perfect square so that the number could be somehow reduced. If the number is a perfect square in the beginning, turning it into a fraction apparently yields a perfect square denominator, which is 100, and thus a resulting perfect square numerator. In other words, if the number is a perfect square number with even digits after the decimal point, it should be well reduced using this method (turning it into a fraction).

same

I dont think they are kids anymore😂

you are correct. but this channel never admits when it does things wrong or poorly.

Of course that was the intended method, but the intended purpose of this video is to show you how problems used to be done prior to the invention of calculators. Case in point, many people don’t know that 289 is the square of 17. This approach is great to develop a ‘feel’ for squares and cubes, and to quickly ‘guess’ the answer. (289 ends in 9, so the root has to end in 7 or 3, so it’s 13 or 17)

The square root can be found in the same way as with a whole number; just include the decimal point. Calculating 34 as the square root of 1156, then the root of 11.56 is 3.4; in reverse 1.5^2 is 15^2=225, so 2.25 is the answer, or 1.3^2= 1.69, 1.4^2=1.96, 2.2^2=4.84, 3.5^2=12.25 If u don't know the squares tables u can use IE 32^2= 30^2=900, +3x2x2x10+2^2 [124]= 1024 or 30^2 + 2x(30+32) or 3^2/3x2x2/2^2= 9/12/4=10/2/4. When squaring decimals double the decimal digits, and halve for roots

@@DunderKlomp Thank you! This is so obvious that it saddens me it needs to be stated. The fact the original comment got so many upvotes just shows how susceptible RU-vidrs are for any comment stated authoritatively. (I'm not bashing the original commenter here, whose basic point is correct. It's just not particularly relevant.)

@@DunderKlomp Meanwhile here in India we still don't use calculators

That sounds insanely cool. Props for making that back then!

@@Elliamy01 Just for info that I'm an Indian, IB/IGCSE And Indian Curriculum Math Teacher by profession. I don't know what this person has said in the video. Here's the best trick : TO FIND PERFECT SQUARE, CUBE OR Nth POWER OF ANY NUMBER : Just split the number into TWO parts in terms of place value, assume first part as A & second as B, and then use (A + B)^2 expansion. Example - 83 = 80 + 3 A = 80, B = 3 So, 83^2 = (80 + 3)^2 = 80^2 + 2 × 80 × 3 + 3^2 = 6400 + 480 + 9 = 6889 Similarly, 137^2 = (130 + 7)^2 = 130^2 + 2 × 130 × 7 + 7^2 = 16900 + 1820 + 49 = 18769 Similarly it's possible to calculate cubes and higher powers of ANY number using the binomial expansion (using Pascal triangle coefficients). TO FIND SQUARE ROOT/ CUBE ROOT OF ANY PERFECT SQUARE/ CUBE : By the way, all those who don't know this, there is an amazing 2 to 5 second technique to find square root of any perfect square, preferably a smaller number. Note that every group of two digits from right (starting from unit's place) to left will contribute to ONE digit in the square root (You can append 0 to highest place value as and when needed to complete two-digit group). Example - Square Root of 57121 1. Focus on unit's place and analyze the unit's place of square root (either 1 or 9, as both 1×1 and 9×9 ends with 1) 2. Temporarily leave the LAST TWO digits and focus on the remaining part of number. (In this case 571) Now locate this remaining number between two perfect squares. (In this case, 571 lies between 529 = 23 squared and 576 = 24 squared) 3. Since 571 is closest to 576, the square root must be closer to 240. Hence, Square Root of 57121 = 239 All dear friends, in case you are or want to be better at calculations, I'd like to share an app with you. Do try the 'Math Tricks' app by Antoni Ion from Google Play Store. Extremely good brains can try 'To The Bitter End' mode wherein they even ask 1885 squared and stuff at higher levels. [ Note : I tried 'To The Bitter End' mode many times and after reaching 163 to 165 levels, I accidentally pressed back button mostly everytime to wash away my hardwork. Finally with tons of patience, I strongly fought for 4 straight hours or more and completed 204 levels and then happily declared my calculation innings and stopped there ! ] 😂😄 You may also try Hard Math Game by marcin.magician from Google Play Store and reply your experience. In case you're interested in solving Math puzzles, do visit contestcen.com and go to Site Map (with various puzzle pages like Digits, Easy Math, Tough, Harder, Geometry, Convergence, Primes, Squares and Powers etc.) Highly skilled and interested minds, do visit contestcen.com/geom.htm and try the following questions - 1. Circles in a Square 2. 4 Tangents 3. 5 Spheres 4. TetraSpheres Thank you. Love you all. 😙😙😙

Wow that sounds cool! I did the same thing except on a school Chromebook (was only 10 lines in python), much easier than what you did back then

You sir are amazing!

@all. Ah, I'm flattered, that's just too much honour. It was just something a curious teen fascinated by math and the idea of coding did. But surely the math teacher and calculator inspired me and formed my later life. Years later I got a phd in maths at computer algebra / representation theory, did some years of math research, now work in IT-security (research jobs are badly funded and create a bunch of personal/family restraints)

b

b

no because it can only calculate roots where the answer is a whole number... it comes out with wrong numbers if the answer has decimals.

News on the test???

So what happend?

I guess we'll never know...

Bruh what test is asking you to calculate square roots in your head??

thanks man

Thanks bro you just saved me from confusion

What if you have a number that ends in 2,3,7 or 8?

damn, thanks.

@@JustAnotherCommenter 69=35+34, is the difference between 35^2 and 34^2, same for any consecutive squares

@@tonybarfridge4369 Do u know any QUICK method to know if a number is a perfect square? I just know verify it by prime factorization.

@@joao-m4rcos The square below and above the number can be quickly narrowed down, from which it becomes clear. To be more precise IE SR 46 is closest to 7 and becomes 7- 3/(7x2)= 3/14= .21, 7- .21= 6.79

ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-lLSBmJ03nhQ.html

You know it is very easy to learn a simple method to evolve the sqrt of ANY number at all, perfect square or not. It wont matter. All you are doing is trying to find square roots by multiplying numbers together until you happen upon the sqrt, This is a rather hilariously naive way to find square roots For 1156. Start at the dec point and divide in groups of 2: 11 56. Put a line over the top -- this is a long division process, so make it look like one. What is the sqrt of 11? It is 3. Put it above the line in your LD configuration, this is the first digit of your root. Square the 3 and put the 9 under the 11and subtract . You get 2 Bring down the next group of 2, which is 56. So your new remainder is 256. In a workspace beside the LD configuration, multiply (3) your current root by 20 = 60. This is your new divisor. 60 goes into 256 4 times. Add 4 to the 60, multiply by the 4 = 256. Put under the 256, subtract. you get 0. You are done because this is a perfect square You could have been trying to find the root of, say, 1186. You can use the above process to find the answer to any amount of digits you require, and quite quickly. Just did it, I got the answer to 5 digits in less than 2 minutes. You wont, with your method, find the answer to 5 digits in ANY amount of time, because your method cant do that Just learn a method to find sqrt of ANY number. Period. It is very fast, simple and it will take about 1 minute to learn the process, and it is so simple you will remember it forever. Being able to find the sqrt of only perfect squares is a perfectly useless talent You can also teach yourself the find cube roots this way.

Yeah I too find it very easy to operate on base 2 numbers

I'm not a computer progammer but I have memorized all the powers of two up to the 24th power (16 777 216).

ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-lLSBmJ03nhQ.html

@Dark nope, you do it from the left in that case For example if there's just one number over there, you find out if it's greater than 1² or 2² or 3², you have put the number smaller than the number. For example, if there's a number 1089, The first two numbers can be paired. 3² is smaller than 10, so we put 3 aside and cut off 10. Now 89 is left. We add the first number we put aside, ie, 3. Now we need to figure out a number 6_ × _ = 89 The number in the blanks must be same In this case, 63×3=89, so we put another 3 aside So this makes √1089=33

@Dark As for what you had asked, consider 10201 (we all know it's a square of 101) Let's try solving this. We pair 1, 02 and 01 First number is 1, which is equal to 1², so we put 1 aside We will add 1+1=2 However, now there is no number to satisfy this 2_×_=02, so we put 0 in the blanks Now we put 0 aside Now we bring 20+0 down (we do not add the whole number, we only add the blank space number from the second step) That makes its 20_×_=201 (because we could not do it, we bring down two too) Now we know 201×1=201, so there goes another 1 and we put it aside That makes √10201=101

@Dark np :)

ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-lLSBmJ03nhQ.html

Yess same heree

Just for info that I'm an Indian, IB/IGCSE And Indian Curriculum Math Teacher by profession. I don't know what this person has said in the video. Here's the best trick : TO FIND PERFECT SQUARE, CUBE OR Nth POWER OF ANY NUMBER : Just split the number into TWO parts in terms of place value, assume first part as A & second as B, and then use (A + B)^2 expansion. Example - 83 = 80 + 3 A = 80, B = 3 So, 83^2 = (80 + 3)^2 = 80^2 + 2 × 80 × 3 + 3^2 = 6400 + 480 + 9 = 6889 Similarly, 137^2 = (130 + 7)^2 = 130^2 + 2 × 130 × 7 + 7^2 = 16900 + 1820 + 49 = 18769 Similarly it's possible to calculate cubes and higher powers of ANY number using the binomial expansion (using Pascal triangle coefficients). TO FIND SQUARE ROOT/ CUBE ROOT OF ANY PERFECT SQUARE/ CUBE : By the way, all those who don't know this, there is an amazing 2 to 5 second technique to find square root of any perfect square, preferably a smaller number. Note that every group of two digits from right (starting from unit's place) to left will contribute to ONE digit in the square root (You can append 0 to highest place value as and when needed to complete two-digit group). Example - Square Root of 57121 1. Focus on unit's place and analyze the unit's place of square root (either 1 or 9, as both 1×1 and 9×9 ends with 1) 2. Temporarily leave the LAST TWO digits and focus on the remaining part of number. (In this case 571) Now locate this remaining number between two perfect squares. (In this case, 571 lies between 529 = 23 squared and 576 = 24 squared) 3. Since 571 is closest to 576, the square root must be closer to 240. Hence, Square Root of 57121 = 239 All dear friends, in case you are or want to be better at calculations, I'd like to share an app with you. Do try the 'Math Tricks' app by Antoni Ion from Google Play Store. Extremely good brains can try 'To The Bitter End' mode wherein they even ask 1885 squared and stuff at higher levels. [ Note : I tried 'To The Bitter End' mode many times and after reaching 163 to 165 levels, I accidentally pressed back button mostly everytime to wash away my hardwork. Finally with tons of patience, I strongly fought for 4 straight hours or more and completed 204 levels and then happily declared my calculation innings and stopped there ! ] 😂😄 You may also try Hard Math Game by marcin.magician from Google Play Store and reply your experience. In case you're interested in solving Math puzzles, do visit contestcen.com and go to Site Map (with various puzzle pages like Digits, Easy Math, Tough, Harder, Geometry, Convergence, Primes, Squares and Powers etc.) Highly skilled and interested minds, do visit contestcen.com/geom.htm and try the following questions - 1. Circles in a Square 2. 4 Tangents 3. 5 Spheres 4. TetraSpheres Thank you. Love you all. 😙😙😙

MIT,Oxford, Harvard, all these are very old universities, 200 or 300 years ago

@@bhavishyasharma7834 duh, I know, but I didn't realize they keep their records for so long Btw Oxford is way older than that, it's over 800 y old.

@@Robi2009 And not the oldest either, the first University is Bologna. And we have tests to become civil servant in China (the Imperial examination) from almost 2000 years ago.

It’s called arabic because ancient white people were very racist and didn’t differentiate indians and arabs

yeah! i always found it really frustrating when teachers just offered the guess-and-check method. i wanted to know how to actually do it, but they never gave an answer.

Wow ur a legend that u love math😂😂😂😂😂👏🏻👏🏻🙌🏻🙌🏻🙌🏻👏🏻👏🏻👏🏻

As another math lover, I'm torn between being happy and sad that in our country, majority exams don't allow calculators

ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-lLSBmJ03nhQ.html

Awesome, I understood it!!😊👍

Wth is this

Right bro

This is Vedic Math. vilokanam (squareroot) & ekadhikena purvena (squares)

that's what I'd do, lol

I think so but just use the "easiest" number 25-29 (including 25 and 29) in this case

Lol

Tru lol

But isn’t the video before 8 months

This is true, because the difference n^2 - (n - 1)^2 = 2n - 1, and the difference (n + 1)^2 - n^2 = 2n + 1, so the increase = (2n + 1) - (2n - 1) = 2. And the odd part can be seen from the fact that 2n ± 1 is always odd.

@Zeniat Haroun and the difference between perfect cubes always increases by 6

I know it's a bit late but i wanted to comment. Your method is basically (x+1)*(x-1) which is x^2 - 1. It also helps at pythagorean problems. It made me feel very clever back then I was at middle school but now im at university and I lost all interest with math :( ...

@@furkanbekgoz5257 damn I first figured that out in freshman year. nice

I think it's worth considering why this is true. Imagine drawing a 3 x 3 square on a piece of paper. There are now 9 small squares contained in this 3x3 grid. If you want to change it to a 4x4 grid, you would add four squares to the right of the grid (three to the right of the three already in the grid, and one below), then three more squares underneath to complete the square. So in total, you've added 7 squares. If you want to extend it again, you would add five squares to the right (that's one more than before) and four underneath (that's also one more than before). You're always adding an odd number and an even number of squares, so the total squares added is odd, and two more squares than you added the previous time.

ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-lLSBmJ03nhQ.html

Why can't i get the square root of 1091 with This number??

@@make-a-wish2224 Because 1091 is not a perfect square

I recommend this maths problem . This guy is crazy applied a method that I have seen before in RU-vid . ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-z2OyVIJznHw.html

@@patriciamaher597 And that is why this method is worthless, and why it isnt taught in schools. You can, in the time it took to watch this vid, learn a simple method to calc the sqrt of 1091 to any accuracy you might desire What is the sqrt of 10? How easy is it to multiply that number by 20? How easy is it to add a single digit to that result? How easy is it to multiply that result by the same single digit? How easy is it to subtract that result from the current remainder? Can you handle this?

Presh Talkwalkar, the most depressing name I have ever heard.

@@seanleith5312 ?

ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-lLSBmJ03nhQ.html

@@talentic6569 lol

What are you talking about?? It doesnt matter whether 9 is closer to 11 than 16 is. Take the sqrt of the number 15 instead. Obviously 15 is closer to 16 than 9. But just as obviously the first digit of the sqrt of 15 must be 3, not 4 Correct??

Same hereee!!! Wahahahah

bhai kitna validation chaiye?

"Zero: India's contribution to mathematics" (tee shirt)

Who invented number 0 ​@@aeray3581

Yes.

Please explain how it works. Can it approximate roots? Can it work for other root bases?

• Step 1 : Separate the digits by taking commas from right to left once in two digits. Ex. 98087 = 09,80,87 Ex. 108087 = 10,80,87 • Step 2 : Write the no. which has the square closest to (and less than) the first two digits before comma. __3_________ 3 | 10,80,87 | -09 | = 01 | • Step 3 : Move down the digits in pair. __3_________ 3 | 10,80,87 | -09 | = 01 80 | • Step 4 : Add the same digit on left side that you've written last above. __3_________ 3 | 10,80,87 +3 | -09 =6 | = 01 80 • Step 5 : Now, you have to do like this, 61×1, 62×2,....and find a no. that is less that or equal to the no. written on r.h.s. In this case, we take 62×2=124 (since 63×3 = 186>180) __3 2________ 3 | 10,80,87 +3 | -09 =62 | = 01 80 | - 0124 | = 56 • Step 6 : Now copy next two digits. __3 2________ 3 | 10,80,87 +3 | -09 =62 | = 01, 80 | - 0124 | = 56,87 • Step 7 : On l.h.s, we must add the digit, we wrote last. Like here, it would be 62+2, and not 62+62 __3 2________ 3 | 10,80,87 +3 | -09 =62 | = 01, 80 +2 | - 01 24 = 64 | = 56,87 • Step 8 : Now, do the same, 641×1, 642×2....here, we get 648×8= 5184 < 5687 __3_2_8_______ 3 | 10,80,87 +3 | -09 = 62 | = 01, 80 +2 | - 01 24 = 648 | = 56,87 | - 51 84 | = 05 03 • Step 9 : After this, put a point above and add two zeroes to get 50300 and repeat the same. If you would've got, say 5000 only and on the l.h.s, 648+8 = 656, then we see 656x × x > 5000, then above, put a 0 to get 328.0... below put two zeroes, 5000,00 and on the l.h.s one zero, 6560, and continue 6560x × x.... Hope it helps! It doesn't approximate, but gives exact. It might work for cube roots too, but is a bit complicated and I actually, don't know, would prefer prime factorisation to approximate.

@@RADHEY-KRISHNA there's no way you didn't copy paste that

There's a way, I typed. Honestly, if you believe. Have a great day!

ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-lLSBmJ03nhQ.html

😂 haha 😂 I didn’t catch that before

Indians themself are too occupied with learning foreign teachings and discoveries by foreign scientists, our school syllabus tends to ignore a lot of geniuses (who didn't "register" themself a patent somewhere in west) It's really sad

@@kashyap_0-0_ You are sooo right🙁

Now10:15

In that case get the answer then square it to check if they are exactly the same

@@ayanoaman3179 That'd be a bit too time consuming and take away the point of this method

@@pmstark10 Squaring 6 digit numbers generally takes less than a minute for the average 7th grader.

You will never make any use of this useless information though

@@37rainman it will help me a lot in school

@@Ma-ol6pp So your school has tests where they declare beforehand: "Anytime you need to find a square root of a number in this test, the number will be a perfect square". Yes??? Or maybe in your country, every single time any student encounters a number she needs to find the sqrt of in any test, that number will be a perfect square So, lets see.............. You have a test question, and in the test you cannot use calculators, "What is the dimension of a square which contains 1000 square feet?" You cannot give the answer beyond saying "somewhere between 30 and 40 feet". Only in India ..................... Wouldnt it be better to just learn a method to find sqrts of ANY number to ANY accuracy desired, and very quickly, since you are apparently interested in this subject? It will take you about 1 minute to learn it

​@@37rainman exactly

"any", it was said ONLY perfect squares. Only 10% of the numbers from 0 to 99 are perfect squares, only 5% from 100 to 199 etc. It works for just a few numbers.

Sorry, but obviously it is a totally useless trick. Might be useful for a 7 year old to impress a not to bright mother for around 30 minutes maybe

Ok so I am gonna explain it First take the original number which is 2. (First Number) Now find the successor of that original number or just find that number added to 1. So 2+1=3. (Second Number) Now multiply both numbers. That gives: 2*3=6 Other examples: 1) 5 =5 * (5+1) =5 * 6 =30 2) 13 =13 * (13+1) = 13 * 14 = 182 Hope It Helps!!

in 841 two possible 21 or 29 2×3=6 6 is low then 8 so you should choose 29 (the large one)

I’d recommend using a “factor tree” if you are studying algebra. The method in the video is really neat but in my opinion if you are new to the topic you should go with factor trees (or similar methods to factor trees).

@@verypanda1801 agreed

@@verypanda1801 bro said algebra not basic maths

@@TheGodQuac there are still basic mathematics in algebra

ikr?

ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-lLSBmJ03nhQ.html

There was a square root method I saw on Math Stack Exchange which only worked on perfect squares. I thought at the time: what use would it have?... then it clicked that it could be used on squared units of measurement (square meters, etc.). For a square root finding method like this to work correctly, the input figure in say... square meters... would either have to be... an integer... or an integer and fraction pair (so 29&23/49m², instead of 29.4693877m²). The input figure's origin must also be of some "parent" figure that was squared. To get the square root of a pair like 29&23/49, you convert the integer and fraction pair into an improper fraction. To do this, you multiply the integer by the denominator, then you add this to the numerator. Delete that old integer, as it is now part of the fraction. This improper fraction is... 1444/49. Use your square root finding method of choice on the numerator of this fraction... the numerator will now be 38. Now, find the square root of the denominator: that's 7 (easy). The square root of 29&23/49 is... 38/7. If you convert 38/7 into an integer and fraction pair, you get 5&3/7. Edit: I'd also like to point out that-in the method above-the 5&3/7 (or 38/7) you see there is the EXACT square root of 29&23/49. For any given fraction (improper or not)... let's call that Fraction A: if both the numerator and denominator are perfect squares, and you make the numerator its own square root and the denominator its own square root, and you call this modified fraction Fraction B... Fraction B will be the exact square root of Fraction A.

@@DMfromWesternAustralia You need to realize that there is a VERY simple and easy to remember process to determine the sqrt of ANY number to any accuracy desired. It will take you about as much time to learn it as it took you to write 1/4th of that post you wrote, and again, you will easily remember it forever

​@@37rainman It's kind of obvious to anyone mate that any square root method which will only work on perfect squares has little utility. The aim of my post was to showcase that methods like these have more utility than many here (this video's commenters) seem to realize. I will say this though: I've seen many square root finding methods (I've come across around six methods so far), and the method that's shown in the video certainly tops the list in terms of speed. For that reason alone, for any given figure that you know will be compatible with the video's method, it makes sense to use the method on the figure over any other method.

I was thinking the same thing and hoping he will give an example of a number that has no square root.

@@justintime9699 u can find if a number has perf square or not by factors right?

Without a calculator, this method brings you a lot closer, in much less time, than random guesses and repeated calculations. I like it.

@@Sachin1729. Take 570 as an example. The SR below that is 23^2=529, since 24^2=576 as pointed out. 570/23= 23+ 41/23. To find decimals double the denominator to get 41/46 which can't be reduced further as 41 is prime. 41x100 /46=89 so is approximately 23.89. This example was a bit hard and the exact answer is 23.874 Hopefully the squares tables are known or can be worked out. IE 20^2=400, 25^2=625, 23^2= 25^2-((25+23)x2)=529, or 2^2/2x3x2/3^2=4/12/9=529

Definitely helps when you have multiple choice answers, though.

@Darkthe long division method

@@joshwajos4930 ahh, that sucks

@Dark Lol, the long division method can be used to find the sqrt of ANY number to 2 or 3 digit accuracy , in seconds. While this method is really useless for anything at all. (When in your life do you ever run into calculations where you know beforehand that the number in question is a perfect square?). I just did the sqrt of 528941 to 3 digits accuracy. Timed myself. It took all of 40 seconds I didnt even think about whether it might be a perfect square or not. And I could have continued to 6 digits or whatever in very little time. It is just a long division process where (for each iteration) the divisor is generated by multiplying your current answer by 20. You could have leaned it in less time than it took to watch this goofy vid SO incredibly difficult, correct??

It does only work on perfect squares, but if you have a number that isn't a perfect square then you can factor it and solve it with a much smaller non perfect square left over

You can look up a method for calculation of any square root. It's a bit more work, but there are some similarities (like going on steps of two digits at a time). The method in the video does give a nice whole number approximation though!

You can use a Long Division Algorithm to find non-perfect root.

You wernt taught this in school, because the ability to calc the sqrt and cuberoot of perfect squares and cubes cannot be used for anything real.

@@archimedesmaid3602 Depends on your area

I'm guessing it only works for perfect squares/perfect cubes.

The headline at the start of the video is "calculate the square root of a 'perfect' square". So I guess the method doesn't work with the number 840, because you will get 28,98...

yeah i was thinking the samething, seem like we cant “guess” the integer part of a random number’s square root

b

ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-lLSBmJ03nhQ.html

You will never in your life be able to do anything practical with this trick. It is totally useless information

Lol same, even I have the powers of two memorised till like 2^25

@@themathsgeek8528 By the way I know powers of 2 till 16 but also know 2^20 and know squares till 111. Anyway. Just for info that I'm an Indian, IB/IGCSE And Indian Curriculum Math Teacher by profession. I don't know what this person has said in the video. Here's the best trick : TO FIND PERFECT SQUARE, CUBE OR Nth POWER OF ANY NUMBER : Just split the number into TWO parts in terms of place value, assume first part as A & second as B, and then use (A + B)^2 expansion. Example - 83 = 80 + 3 A = 80, B = 3 So, 83^2 = (80 + 3)^2 = 80^2 + 2 × 80 × 3 + 3^2 = 6400 + 480 + 9 = 6889 Similarly, 137^2 = (130 + 7)^2 = 130^2 + 2 × 130 × 7 + 7^2 = 16900 + 1820 + 49 = 18769 Similarly it's possible to calculate cubes and higher powers of ANY number using the binomial expansion (using Pascal triangle coefficients). TO FIND SQUARE ROOT/ CUBE ROOT OF ANY PERFECT SQUARE/ CUBE : By the way, all those who don't know this, there is an amazing 2 to 5 second technique to find square root of any perfect square, preferably a smaller number. Note that every group of two digits from right (starting from unit's place) to left will contribute to ONE digit in the square root (You can append 0 to highest place value as and when needed to complete two-digit group). Example - Square Root of 57121 1. Focus on unit's place and analyze the unit's place of square root (either 1 or 9, as both 1×1 and 9×9 ends with 1) 2. Temporarily leave the LAST TWO digits and focus on the remaining part of number. (In this case 571) Now locate this remaining number between two perfect squares. (In this case, 571 lies between 529 = 23 squared and 576 = 24 squared) 3. Since 571 is closest to 576, the square root must be closer to 240. Hence, Square Root of 57121 = 239 All dear friends, in case you are or want to be better at calculations, I'd like to share an app with you. Do try the 'Math Tricks' app by Antoni Ion from Google Play Store. Extremely good brains can try 'To The Bitter End' mode wherein they even ask 1885 squared and stuff at higher levels. [ Note : I tried 'To The Bitter End' mode many times and after reaching 163 to 165 levels, I accidentally pressed back button mostly everytime to wash away my hardwork. Finally with tons of patience, I strongly fought for 4 straight hours or more and completed 204 levels and then happily declared my calculation innings and stopped there ! ] 😂😄 You may also try Hard Math Game by marcin.magician from Google Play Store and reply your experience. In case you're interested in solving Math puzzles, do visit contestcen.com and go to Site Map (with various puzzle pages like Digits, Easy Math, Tough, Harder, Geometry, Convergence, Primes, Squares and Powers etc.) Highly skilled and interested minds, do visit contestcen.com/geom.htm and try the following questions - 1. Circles in a Square 2. 4 Tangents 3. 5 Spheres 4. TetraSpheres Thank you. Love you all. 😙😙😙

Ha ha. Me too. I have memorized powers of 2 until 20. It was a craze memorizing them.

What problem does this let you solve efficiently? I can't think of a single situation where I've been given a number which is guaranteed to be a perfect square, _and_ I've needed to take the square root of it, _and_ I've not had a calculator or computer available.

@@beeble2003 Oh dear, I didn't mean to make you feel bad but the competition for which I'm preparing has quite a few big perfect square roots in between the solutions, so, this trick really helped me a lot. I hope I cleared your doubt.

@@varun9954 Oh, OK. So the situation is an artificial one but it is, nonetheless, a thing that's useful to you.

ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-lLSBmJ03nhQ.html

the only problem with learning things online is that anyone anywhere can post anything anytime they want. You do have to do a little bit more research to make sure that their claims are true. other than that, yes the internet is a gold mine of information.

@@chadd990 true that definitely is an important take away

hay pal

pal hay

Nice! Can you prove it?

It’s nice to know this, but it doesn’t seem to help in math.