Introduction to square roots | Numbers and operations | 8th grade | Khan Academy

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Learn about the square root symbol (the principal root) and what it means to find a square root. Also learn how to solve simple square root equations.
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8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.)
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
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Опубликовано:

16 окт 2024

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Комментарии : 491

@wydpanda 4 года назад

Just started using square roots in math. This was a great explanation. Thank you so much!

@estherironkwe25 3 года назад

Same

@itz_nad1a 2 года назад

Same

@dinydinasauer 9 лет назад

Way way WAY better than my math teacher said it; Sloppy and confusing. We should just watch your videos the whole class. lol

@complex3866 8 лет назад

Agree

@spaghetti5034 8 лет назад

lol agreed

@yourmoma9755 8 лет назад

agree

@maddiedale1824 7 лет назад

FujoshiSlytherinUnicornTrashBin same! i'm in sixth grade and in eighth grade math

@anhdrw 6 лет назад

Backup exactly

@bonelessbooks9263 6 лет назад

This guy should voice scar in the new lion king live action

@kohinoorghale6326 4 года назад

Yes he actually should lol😂😅👍

@colormaticyt2478 3 года назад

Who should he voice though 😂

@griffinmcc5775 3 года назад

Plot twist: he was the scar from the first lion king

@bravesquid6183 3 года назад

*the lion sleeps tonight intensifies*

@theowlhouseking8500 3 года назад

Gul

@enjacy 4 года назад

Khan Academy...providing excellent learning at no price... mark of GREATNESS

@unknownninja6936 2 года назад

what do u mean no price

@apexguy2980 2 года назад

@@unknownninja6936 it's free

@sahibgul5594 Год назад

What do you mean? No price

@enjacy Год назад

@@sahibgul5594 i mean that its available for free..high quality content available for free..

@mistakenmeme 7 лет назад

I'm 12 and this makes more sense then simple division.

@mopes9251 3 года назад

No one asked

@mopes9251 3 года назад

@Demitheus lmao it was

@joe-dp8pg 3 года назад

IKR!

@thatonegamerguy941 3 года назад

Now youre 15

@lezly678 3 года назад

@@thatonegamerguy941 nice

@rajuthomas3387 8 лет назад

Thank you very much for providing us such videos for free.The whole Khan Academy professionals are the owners of great hearts

@kekships 9 лет назад

man you make things sound so simple

@infernotara870 3 года назад

its so cool that he's like a professor and is so amazing at math but still makes videos about something as simple as 8th grade share roots.

@Waywind420 9 месяцев назад

And has made hundreds of millions of dollars by doing so

@can_with_beans 5 лет назад

9 = 9 Every sixty seconds in Africa a minute passes

@redd9460 5 лет назад

what?

@redd9460 5 лет назад

I understand...but what's the point? im so confused lol

@can_with_beans 5 лет назад

Its a meme, hereknowyourmeme.com/memes/every-60-seconds-in-africa-a-minute-passes

@BladeEdgeShinobi 4 года назад

Can Baki kool

@giseleteghen4247 4 года назад

Hahaahahahajajajajajajajajajahahaha

@ylkabicasan2522 3 года назад

Title: *8th grade* Me, a sophomore dweeb: :')

@zxxczczczcz 3 года назад

what that means

@iliketheearth Год назад

@@zxxczczczczit means you are not making it past the gates

@N1K0L.S0BA 2 месяца назад

Title: 8th grade Me, a sixth grader: 😰

@くぉくぉくぉ 3 года назад

I have a test tomorrow and now I am revising last minute, this helped me understand square roots really well. I’m pretty confident for my test tomorrow

@noellemleverett6000 3 года назад

Same I still feel like I’m going to fail though math doesn’t make sense to me in general.

@enderless6055 3 года назад

Good luck on your test 😁😁

@Clubbyvortrox3GD 4 месяца назад

This is a great explanation,thanks

@coolwolf506 3 месяца назад

Relearning how to do basic Algebra because I forgot some of this since I graduated highschool

@kazuya7749 2 года назад

Thank you so much! This is 2021, and it continues to help me with preparing for an upcoming Math Exam >:D Thank you so much Sal Khan! We love Khan Academy and you!

@fardinsarker6247 Месяц назад

You are the bast ❤❤❤❤❤❤

@hankhill6166 3 года назад

Bruh I am positive that every kid born between 2003-2010 has heard this mans voice at least once in their life

@marinab992 6 лет назад

helpful video. thanks.

@mariah8348 4 года назад

thank u !!

@Jimothy-723 Год назад

i love it when teachers explain things by saing "it is cause it is."

@muhammadrafay6022 9 лет назад

wow! you explain way better then my math teacher!

@naiakenj2003 3 года назад

Hey guys! I'm studying at a Kazakh school, but trying learn it in English too, to improve my English skills. Idk why i said here, but ok 😌 Thanks for video, it was useful.

@aneeskhan8856 7 лет назад

I just love your teaching it much more better than my teacher

@HeyWelcomeToMyWorld 7 лет назад

Don't ever say "much more better" again in your life.

@nayukii3432 3 года назад

@@HeyWelcomeToMyWorld Don't you ever say "much more better" again in YOUR life.

@sasukeucihha7306 3 года назад

it is very nice you tube channal

@WanderingFireOG 8 месяцев назад

8th Grade Math - I didn't care about math at all until I hit university. Now here I am taking a statistical analysis course, having to go back to good old Grade 8. Stay in school!!!!!

@sparx2208 3 года назад

OMG this helped me SOOO much!!

@iliketheearth Год назад

help me master

@vindicatorschannel7136 11 месяцев назад

I self taught myself the concept of this in 5th grade. Now here I am willing to watch the entirety of the square root. THX!!

@muhummadkhan5787 5 лет назад

HOW DO YOU DRAW OR WRITE WITH A MOUSE

@PasscodeAdvance 5 лет назад

Professional Skills

@arunkumar4u 4 года назад

Graphic pad and pen

@arunkumar4u 4 года назад

It's not a mouse

@natalie1758 4 года назад

that's what I tried to figure out

@cleartrap359 4 года назад

Imao

@el-mehdibenchaib9950 6 лет назад

We assume that (-5)^2=25 and 5^2=25 then (-5)^2=5^2. then if we enter the square root in both sides we get : sqrt((-5)^2)=sqrt(5^2). if sqrt(x)=x^(1/2) then ((-5)^2)^(1/2)=(5^2)^(1/2) (-5)^(2/2)=5^(2/2) so -5=5. How do you explain that?

@jef_f8751 6 лет назад

-5 is a square root of 25, but 5 is the *principle* square root.

@soursid5261 6 лет назад

Whoa!

@lucditton6029 6 лет назад

I didn’t get any of that because I’m braindead!

@cheezie9520 6 лет назад

This can be explained using order of operations. When you get to √(-5)^2) = √(5^2) The right side can be easily simplified as followed: √(5^2) = √25 √25 = 5 Which leaves you with √(-5)^2) = 5 But then on the left side, you have to do grouping symbols first. √ is a grouping symbol and in it is an operation Therefore you have to solve that operation first before you find the square root So (-5)^2 = 25 √25 = 5 5=5

@PasscodeAdvance 5 лет назад

@@lucditton6029 it looks like the exponent sign is "^" so he used the exponent 5 with a mini 2 above and multiplied it to the power of said number, so he got 5 multiplied by 5 then 25. Then he divides 25 by 5 to get 5. There, good training for both of us

@sweetmarmaladera1573 3 года назад

I'm a freshman at college and don't know how to square root and my math test is in 3 hours. Please learn how to square root before you get to college lol. I'm sure this video is going to help me a lot. Thank you!

@animallover751 3 года назад

Ok, I'll learn! It's a bit late for me too but I'm learning it fast!😱

@sangitapatro5059 3 месяца назад

As a 6th grader starting algebra , your explanation makes it look simple.

@seraphicstyx2028 6 лет назад

This channel is really just one big life saver ay?

@saudinho1436 3 года назад

your way of teaching is so neat, thx for giving me insights about how to teach it

@moreydumo5925 3 года назад

Number Number squared Number cubed Number idk how to make it

@sundae6919 6 лет назад

So helpful

@hassansohaib3443 5 лет назад

| this is how many times he helped us

@happianaupdates1545 7 лет назад

I am I 6th grader and I'm doing 7th grade in the summer so I can be in 8th grade next year so I am practicing my 7th grade math so I will know what they're telling me and you really made it easier who knew square roots where so easy

@sudhanvasastry7072 7 лет назад

Bxbby Gurl ur crazy

@dragonglitch5025 6 лет назад

thats when you know your smarter and more responsible

@charlessakyi3619 5 лет назад

I'm in 7th grade learning 8th grade math

@iso8443 5 лет назад

I'm in 6th learning 8th grade mathematics

@joannabandar6663 4 года назад

woah-😂

@DiscipleW 3 года назад

This is great, thanks! The different colors makes it event better, good choice!

@k.i.w.i.7451 3 года назад

Thank you so much I needed this.

@vivaanplays3063 2 года назад

Thanks! I’m in 6th grade an I have an AMC8 math competition coming up. This is probably going to show up and I haven’t learned it yet!☺️

@rahmamohammed963 3 года назад

Is it me i hear so many people talking about Khan academy and today I just learnt that it's really helpful well done KHAN YOU earned a sub :D

@chandynruot4995 3 года назад

His name isnt Khan...

@chandynruot4995 3 года назад

Lol

@maggie2638 5 лет назад

Thank you lot of help

@graceelathrop6371 5 лет назад

This was awesome! I watched this the day before my math test and, well not to brag but, I ACED IT

@aliferetirichard8460 Год назад

Thanks you have helped me in understanding such topics

@ZephyrYeti 3 года назад

My teacher explains fine, but the students r so frickin loud i cant even hear him and he cant explain it cuz of the students, and that's when i found this really helpful video, thanks.

@goosedacatdasupercat6270 3 года назад

IKR sameeee

@Clubbyvortrox3GD 4 месяца назад

I subscribed to you❤ I love your videos❤

@fossick2992 4 года назад

Thank you for introducing square roots, I was always told by other peers that they were very hard, but after watching the video it doesn't look that hard.. *Future : OMG WHY CAN I NOT DO THIS. *

@manalsanufi3119 4 года назад

cuz ur not epic like my mom my mopm is really smart i am using her account and my mom is cool and wise and ur young and my mom is old and she did universitey now u get it ok like if u agree\1\1111\1!!

@fossick2992 4 года назад

@@manalsanufi3119, when did I start talking moms…?

@arnavg7973 3 года назад

@@manalsanufi3119 Uhhhhh?? Get off the internet kid and finish your homework

@SamSlayzLol 2 года назад

Thank you Khan Academy! I never knew anything about square roots for my test but after watching this i got 100% so thank you so much!!!

@sukainabatool3740 6 лет назад

Which app do you use?

@iliketheearth Год назад

🎉

@makaylad8987 9 лет назад

This was very helpful :D

@nyrvannigelsiew4602 3 года назад

This was very helpful. Thank you 😊 I'm actually in 9th grade and this is best

@quanglexuan5852 6 лет назад

THANKS

@moreydumo5925 3 года назад

Infinity

@surenderreddy9351 3 года назад

Tq for the video

@carinamariles3213 6 лет назад

Im bouta be my teachers favorite student LMFAO

@rihaabfareed3859 8 лет назад

(-3)2 = +9 because if we do it like this: -3x-3= +9 here, integers are being used and as minus + minus = plus , so the ans will that's why be positive, right?

@moreydumo5925 3 года назад

Ten times Ten One hundred

@andrescientos 4 года назад

When some one says ' Your debt has multiplied ' I definitely don't think of positive numbers. Explain to me why (-)(-) equal positive numbers.

@pianoboss6000 4 года назад

I recently just saw this on another comment on a RU-vid video. If you were walking -2 miles east (2 miles to the west) every hour Where will you be in negative 1 day (in -24 hours)? In negative one day you will be 48 miles to the east. -2 (miles east) x -24 (hours) = 48(miles to the east) As a result, a negative times a negative is a positive.

@andrescientos 4 года назад

@@pianoboss6000 so then to me, it seems like, the multiplication of negative numbers is always asking for 'absolute value' because, you still walked -48 miles in a negative direction in context to reality.

@Ontheroad13 4 года назад

If you download the Khan Academy app and look through their pre-algebra course, they go through the reasons that in great detail.

@andrescientos 4 года назад

@@Ontheroad13 I'm pretty sure the majority of people just accept it as a 'math fact' like saying 'the grass is green' but you don't need to understand what makes the grass greener unless you plan to become a landscaper. I'm not planning on becoming a landscaper, or even much less, a mathematician. The only time I can tolerate math though is after smoking some green, not gonna lie. I'm 30 and just asking questions I probably should've asked 15 years ago.

@Ontheroad13 4 года назад

SerHumanoLozano I’ve been doing the exact same thing with math over the past few months. I’m 32 and going through some higher level mathematics now in preparation to get into an engineering program. Really wish I had listened in school now!

@WaytoIslamSahlmepparamb 3 года назад

Wow good 👍 teaching god bless you 🙏🙏👌👌👌👌

@tartagalicious Год назад

Watching this like 1 hour before maths exams, helped me a lot

@Keturah-Abigail1 6 лет назад

Thank you! We are doing a problem in our Saxon book and I wanted to give a visual after the book explanation on the meaning of square root problems. Thank you for the video!

@masonhart4458 4 года назад

Same

@muntahatalksalot 3 года назад

I just stared 7th but im learning this rn so I can flex next year 🙏

@LJ63371 2 года назад

thanks this was helpful for school

@uix_zhav Год назад

This man is best really

@isabellab.9433 6 лет назад

you should be a math teacher

@saamiyainduo733 4 года назад

this is actually so easy because of you and hope one day i can be as smart as you from watching all your vids

@angellorenzo4987 6 лет назад

Good job dude, thanks btw I can be the smartest of 6th grade now!😂😆

@Nick-iv3yb 2 года назад

THANK YOU SO MUCH, now I know that was dramatic, but really! I am super struggling in math and this helped me so much! I was crying of frustration trying to figure the square root out and 50 seconds into the video I totally understood. you explain things so well! thanks a lot!!

@jasminebeaaguilera3526 3 года назад

hello im in 7th grade, and my teachers in elementary havent taught me square roots, so now in junior high school, i have to know what square roots is in youtube (our lesson is rational and irrational numbers)

@enderless6055 3 года назад

Same, my teacher talked about this in 4th grade but I was taught in 6-7th grade, now I'm in 8th

@umathakur6812 7 лет назад

thank

@lyndiaries2904 3 года назад

Thanks to Khan Academy i really enjoy learning math😊

@LT_Productions1 3 года назад

Thank you!

@The20030 3 года назад

8 th grade huh I am in grade 3 and I learnt it from ur video

@usalty6010 3 года назад

because this is literally the easiest video ever, kid. Lmao

@usalty6010 3 года назад

also don't tell people your age online

@CarrotAshy 2 года назад

Thank you!! I have a test tomorrow and this is right what I needed to know.

@monaply7012 3 года назад

Nice job understood very well 👍👍👍👍👍👍👍👍👍👍👍👍

@Learneasilyhere 9 лет назад

nice !!!

@sansbrotherpapyrus411 8 лет назад

Soooo understandable 👏🏻👏🏻👏🏻👍🏻👍🏻👍🏻

@iliketheearth Год назад

something is about to clap and it isnt that emoji

@averymccoy666 3 года назад

ppl are saying that this is not what there teacher says ME: i do homeschool and they just tell me to watch his videos lol

@vedamoksha7872 4 года назад

Hi this explanation is brilliant.... You are better than my IIT maths sir

@supitsizzyp2344 3 года назад

* me just being a 12 year old who wants to be smart in school and get ahead* - Memory lose: " Hello let me introduce myself"

@thanhhuyenvu9662 3 года назад

ideal to me!

@yaseenomar60 День назад

Tysm man

@ikajuliaa 4 года назад

This helped me so much! I haven’t been to school since December so I missed a bunch of lessons and with this online school stuff, no one is teaching me anything. Honestly I wish I found this sooner ;0

@ntpsunilyt2317 4 года назад

Thank you sir for you my name is sunil

@flaminghydra8962 4 года назад

Thank you this helped me a lot

@moreydumo5925 3 года назад

Khan: I Will go to Khan Academy *Door opened* Mathantics: *KHAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAN!!!!!!!*

@nayukii3432 3 года назад

nani-

@ved1820 6 лет назад

Is the sign of negative is given out side of the sign of square root

@kidrandom624 8 лет назад

I am in 6th grade but trying to make my math over advanced but it doesn't matter what grade you're in

@evening2 8 лет назад

me too

@nevereattomatoes.imserious3151 7 лет назад

Kid Random Im in 5th grade and I wanna get straight ayes and skip a grade so I am just teaching myslef.

@Ny-uz9eo 7 лет назад

Same. I'm in 6th and have a notebook of all of the things we haven't leaned yet but I already know, because I already have AT LEAST a 7th grade level in everything. I'm only 7th grade level in one subject too