Calculate Square Root of Non Perfect Squares in Seconds. Mental Maths - 13 

Happy new year

Happy New year 😊

are u indian

I struggle to sleep after maths…

same here

I'm 12: 11 am learning for jee main

Same

2:18 am

Today.. I love math,. I explore too much to this channel 😍😍

Dem indians bro

Im trying to understand you, show example pls

@@kaiji2542 sure, for example if you want to find the square root of 210, you know the lower square is 196 (square of 14) and the upper square is 225 (square of 15). So the math would be: Sqrt(210) = Sqrt(196) + (210 - 196)/(225 - 196) Which simplifies to: Sqrt(210) = 14 + 14/29 Sqrt(210) = 14.48 (Note that the above are approximations, not equations)

@@NiceGoat Thanks! Although its harder but more accurate!

@@NiceGoat what if it was like finding the square root of 7?

@@kaiji2542 yep, it would work for that as well

I swear why are these kids doing this math me im a grade 8 makes sense but you look 10 man no wonder you indians are so smart

Bro square of 7 is 49 and 45 is a no. less than 49. Hence, the root of 45 must be less than 7. Also, the trick Math-O-Genius told in this video is based on the method of linear approximation formula that you may see when you are studying calculus(differentiation part basically) and it suggests that the error should be as less as it can be. More will be the error(difference between the original no. inside the square root function and the closest perfect square no. to the original no. that we know of), more will be the difference between the original ans. and the approximately calculated ans. *Edit* - I just saw you opted a fine approach but committed just a minor mistake - 1/12 = 0.0833 Hence, 9/12 = 0.749(approx.) So, answer will be => 6 + 9/12 = 6.749 (approx) You can also do it like - 7 x 7 = 49 =>Error = 3 =>Ans = 7 - 3/(7 x 2) = 7 - 3/14 = 6.78 (approx) *And the original answer is 6.708* Both the answers are pretty close...

Hey Blue

He didnt CONVERT It, its the ESTIMATED answer we got using this method (4.375) while the ACTUAL answer you get by solving it using calculator is 4.359

watch the video on word problems

Himachal pradesh

this formula does not exactly work the way of how close the number is to the lower or upper perfect square. the main criteria is the geometric mean of the two upper and lower perfect squares. if the given number is less than this geometric mean,use the lower perfect square,and if the given number is greater than the geometric mean,use the higher perfect square. if the given number is exactly the geometric mean, then choosing either perfect square will yield you the same answer and not nearness to either perfect square. example sqrt of 20, lies between 16 and 25. by normal intuition, use of 16 (4 units away) will yield the better answer than 25 (5 units away). if you try calculate using 16 or 25, the answer are both the same 4.5 : 4 + (4/2/4) = 4.5 = 5 + (-5/2/5) . because geometric mean of 16 and 25 is exactly 20. this is especially noticeable when the number is small like square root of 2 lies between square root of 1 and 4.

Man City on top

🤣🤣🤣

1.33

You just gotta practise man

United >

Currently City is the best prem team

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