Complicated Algebra Problem with Square Roots, Radicals, & Exponents

Рет қаралды 1,750,214

Justice Shepard

Жыл бұрын

Пікірлер: 987

@brycejohansen7114 Жыл бұрын

I went with 64 because it's the only one that square roots evenly

@PeteMidg Жыл бұрын

Yes, and I bet you got it way quicker than 60 secs! I also went with that approach :-)

@alegoncalves472 Жыл бұрын

Based engineer response

@krispyplayz4757 Жыл бұрын

Yup lol, i went that way too

@simonesalvadori2007 Жыл бұрын

it could be the d too 😂

@ashishronak5774 Жыл бұрын

same

@therealjoshuachapman Жыл бұрын

I’m just gonna answer D everytime 😂

@Kyzons Жыл бұрын

😂 me too

@dinshifundays 11 ай бұрын

Same 😂😂😂😂

@AnAbsolutelyRandomGuy 9 ай бұрын

It is C sadly :(

@terranceparsons5185 8 ай бұрын

If you answer c) instead, you will always be right!

@bulkmeup3376 8 ай бұрын

Ikr my goodness

@Carrnage101 Жыл бұрын

“Don’t worry…” Epic.

@Hardikpandya25633 3 ай бұрын

@Fae7Rose Жыл бұрын

i love the "not today" option lmaooo how is no one talking about this

@samikpal99 Жыл бұрын

What do we say to God of death... Not today 😂

@user-cb9vg4ur9f Жыл бұрын

수학적 의미의 not today가 무슨뜻인가요?

@suyeshjharwal7836 Жыл бұрын

@@user-cb9vg4ur9fcant solve it today as if you're too lazy to do it

@___NG___ Жыл бұрын

@@user-cb9vg4ur9f it means nothing it is just a joke option

@anacondaeunectes1854 Жыл бұрын

😂 Thank you!

@stereoroid Жыл бұрын

It’s simpler than that. We know 49 = 7^2 = √7^4, so the exponent of √7 must come out to 4. Which is √16 = √(24-8) or √(24-(√64)).

@lumpyam8763 Жыл бұрын

Where Did You Find The Square Root Symbol On The Keyboard?

@tfg601 Жыл бұрын

@@lumpyam8763 √

@tfg601 Жыл бұрын

@@lumpyam8763 √ EASY

@suyeshjharwal7836 Жыл бұрын

@@lumpyam8763bro just type √

@adorocafe457 Жыл бұрын

sqrt

@muscleandimports Жыл бұрын

When he said, "almost done" I felt that because I was already lost about 5 steps ago..

@carteri8394 Жыл бұрын

I haven't done math problems since 2019 but this makes me excited, great short

@meowhello1845 8 ай бұрын

Imagine doing the derivative 💀💀💀

@CurryMuncher2 8 ай бұрын

@@meowhello1845wouldnt be too bad, just some chain rule

@snekback. 7 ай бұрын

@@CurryMuncher2now do the third integral

@ineedhoez Жыл бұрын

Dude... this would have saved me so many tears in middle school

@SH-xg2ts 2 ай бұрын

I dont remember any of this stuff anymore.. but you made it easy to understand. Thank you.

@FrankCordovaMileHighBorn Жыл бұрын

I swear, the education department needs more math teachers like you. Keep it going man.

@__.JaiShreeRam.__ Жыл бұрын

So this was hard for u -_-

@Brody1007 Жыл бұрын

@@__.JaiShreeRam.__ did he say that? He’s saying that the kid would be a good teacher

@Acheron-IX 9 ай бұрын

@@__.JaiShreeRam.__well i’m not doing this kind of math yet so yes i think this video was pretty cool.

@Jackie76493 9 ай бұрын

@@__.JaiShreeRam.__not everyone is at the same level as you.

@antonstendahl9212 7 ай бұрын

his teaching skills are great if you already know the basics of math. also his expressions aren’t mathematically correct and his solution doesn’t contain a clear and robust structure, this won’t hold for higher levels of mathematics but works great for beginners. but learning from him will make you need to relearn later on. :)

@shivekagrawal4412 Жыл бұрын

Ok so is it only me who likes the sound of touch from his stylus ? edit: thanks for the likes

@sanskar0888 Жыл бұрын

lol same

@shadowofheaven3279 Жыл бұрын

@epikherolol8189 Жыл бұрын

Same

@Laxidosis Жыл бұрын

apple pencil

@MichaelJones-us9ty Жыл бұрын

There is actually a podcast that plays that sound but by a fire. It helps me study.

@kier_q Жыл бұрын

I'm after big physics exam, and wanted to scroll down, I'm just tired, but you saying "Don't worry we'll done it in less than 60 seconds" got me stayed and watch

@ryansoto368 Жыл бұрын

Jesus Christ, i need a beer

@ManuManuManuManuManuManu Жыл бұрын

I don’t drink but I get what you are saying

@OldSchoolMikey 8 ай бұрын

That sounds better that answer D

@no_signal_98 Жыл бұрын

I walked away for 10 seconds and came back to an equation for a time machine bruh

@ITSJUSTMEFORNOW Жыл бұрын

Guessing C is what got me through all my hard questions in school

@dma7704 Жыл бұрын

these questions look difficult but this guy makes it 100x easier

@zaylaas Жыл бұрын

bro i didn't understand shit

@dma7704 Жыл бұрын

@@zaylaas okay, so if you already know fractional powers, you know that writing √7 is the same as 7^½. because left hand side equals 49, 49 can be simplified to 7². it's just a matter of then equating the powers together using algebra, hope that helps!

@zaylaas Жыл бұрын

@@dma7704 ohh tysm 😧😧❤️

@vaidehinehete960 Жыл бұрын

Bro we do such easy questions in class 7or8or9 here in India 👀

@dma7704 Жыл бұрын

@@vaidehinehete960 lol nice, but we from the WEST 😎😎😎😎

@__dm__ Жыл бұрын

You should always check your assumptions when working with square roots. In this case it’s fine, but the argument on each square root must be positive for the answer to work, and whenever you square both sides there is an implicit assumption that the “other side” of the square root is positive. In this case it’s not really a biggie but you should always check

@nuclearwarhead9845 Жыл бұрын

Yep, always ensure both sides are positive before squaring and check for extraneous solutions

@Grizzly01 Жыл бұрын

@@nuclearwarhead9845 if the √ has no ± in front of it, then it is the Principal Square Root you are dealing with.

@Sufian95 8 ай бұрын

We italians are told to set rules for denominators, roots, logarithms and trig functions as well. For example the denominator of a fraction can never be zero.

@giovanji7883 5 ай бұрын

@@Sufian95 are "condizioni di esistenza" what they mean when they say that you need to check?

@Sufian95 5 ай бұрын

@@giovanji7883 exactly man or if we are studying a function, we say: "dominio della funzione" which is an interval where the function is defined. Example: f(x)=1/x is not defined in x=0

@kedxv Жыл бұрын

I would probably just try all the numbers because that seems easier

@your_-_mom Жыл бұрын

It’s not

@Eric188092 Жыл бұрын

@@your_-_mom Depends on how far kedxv goes; should they stop once they see neither 12 nor 30 as x would lead to an integer result under the square root symbol (which at the earliset can be seen when they plug it in under a square root), they could quickly try 64 and then follow through. An open response question without any choices would require the more algebraic approach showcased in the video, but with the kind of choices offered, brute force would not take much effort.

@MathPhysicsFunwithGus Жыл бұрын

Great video!

@crispychokopuffs2271 Жыл бұрын

To me it just looked like Sam Widwicky writing a alien transformer handwriting

@charleychewning2310 Жыл бұрын

what software do you do these questions on, and how do you set up the multiple choice questions??

@Islababyxoxo Жыл бұрын

We did this at school in year 9 and this is a perfect method to show how to do it! ❤

@imfiera2594 Жыл бұрын

the multiple choice experience

@chadhutchinson2568 15 күн бұрын

Bro is saving humanity with one math equation at a time.

@JJ_TheGreat 4 ай бұрын

Awesome! You make it easy! Thanks!

@chim1353 Жыл бұрын

Senior form question

@exodus9669 Жыл бұрын

The equalling the exponents if the base is the same is just blowing my mind even though its actually very simple

@jigglyCroissant Жыл бұрын

7th grade math 😮‍💨

@akshithvasa4116 Жыл бұрын

@@jigglyCroissantWay earlier than that for me

@jigglyCroissant Жыл бұрын

@@akshithvasa4116 when did you learn it ?

@akshithvasa4116 Жыл бұрын

@@jigglyCroissant I learned it in 3rd from my dad.

@jigglyCroissant Жыл бұрын

@@akshithvasa4116 oh

@lynxprime1778 Жыл бұрын

Woah that was legit easier than i thought

@abeonthehill166 Жыл бұрын

Super detailed explanation Man ! Thanks for sharing !

@majksa03 Жыл бұрын

You should also check that 64 actually is the correct answer, because square roots are involved. (e.g. √x = -2; square both sides; x = 4; but that's not true, because a square root cannot be equal to a negative power L = √4 = 2, R = -2, L != R

@semiclassical7620 Жыл бұрын

Also it’s fast enough to just plug in the three answers given. Don’t solve if evaluating is faster

@jimmehbob6576 Жыл бұрын

I love math. It's easy, but it looks hard. My best advice is to trust the process

@vaguu Жыл бұрын

true

@slyvesterakaspookmcskull6113 Жыл бұрын

small problem: i'm fucking stupid

@MineCraft-nz9pg 6 ай бұрын

That feeling tho, When you're solving a long form question and you suddenly have that intense doubt that you might've f up somewhere cuz the numbers kinda look weird and uncommon 😅 and u don't know if u should keep going start all over 😂.

@Rhythm16 7 ай бұрын

Ahh the nostalgia, I used to do these kind of problems in school and I loved it.

@johnotis6764 3 ай бұрын

You are fearless!

@evreixarara4611 Жыл бұрын

Where did we get 1/2 in ? I understood everything except that part

@godanipicprofile 8 ай бұрын

Sqrt in index form is ^1/2

@theriddlerUSA Жыл бұрын

I wish he had been my math teacher.

@whirled_peas Жыл бұрын

He was probably 2 when you were at school

@theriddlerUSA Жыл бұрын

@@whirled_peas His parents were probably children when I attempted to learn math.

@marissa_____ Жыл бұрын

This is really cool, I'm learning so much.

@Hammerage1 Жыл бұрын

This was actually fairly simple and elegant.

@eggybread. Жыл бұрын

I had a few goes at this before you revealed the answer, the mistake I made was simplifying: ½√(24-√x) as √(12-½x). I was getting there though.

@IAmOOFy Жыл бұрын

Yes, you can't use distributive property on radicals the same way you do with parentheses

@devanandan9538 2 ай бұрын

That dude squared both side and took of 1/2 wtf how can anyone do that?? It's becomes 1/4 right anyway the final answer was the same

@zach11241 Жыл бұрын

My brain attempting these types of problems during tests is like a car going over an unpaved and flooded country road You make that road into the freaking Autobahn in every possible good way!

@fineganw 9 ай бұрын

Wonderful step-by-step solution.

@user-cd7pd5sx7e Ай бұрын

Love it!!

@dipankarbanerjee1130 Жыл бұрын

Yess... Not Today .. Coz it's 64

@abhigaur9044 Жыл бұрын

yes he forgot the half

@TheGoldenDogOfficial Жыл бұрын

Me who’s 12 and has no idea whats going on Edit: I kinda get it and a few weeks ago i turned 13!!

@Marvel_L_R Жыл бұрын

I'm 12 too But I think it's understandable

@harshsrivastava85 Жыл бұрын

When I was 12 I didn't even solve these boring and easy problems.

@IAmOOFy Жыл бұрын

Same lol

@tfg601 Жыл бұрын

@@Marvel_L_R yeah right

@KitKat-xt4ti Жыл бұрын

@@harshsrivastava85 Yes we all know, you were doing advanced calculus and trigonometry as an infant 🙄

@jacquelineking5783 6 ай бұрын

Ah a wonderful reminder I have been out of school for 20 years.

@TONYBOTTLE 10 ай бұрын

man you teach me so easy

@kayo9508 Жыл бұрын

Yeah.. not today

@The_Shrike Жыл бұрын

Or you just recognize that the whole big exponent needs to be 4, meaning the inside of it needs to be 16, and you’ve solved it in half a second

@viktorsedlacek284 Жыл бұрын

Exactly

@NarutoUzumaki-xd4db Жыл бұрын

Yeah that's how I guessed 64

@Trep3 Жыл бұрын

yep

@Lucky-Tips333 10 ай бұрын

Wow I get it all thanks. That radicals too hefty

@o.h.w.6638 Жыл бұрын

I love this channel so much!

@JeremyLionell5 Жыл бұрын

You can easily tell the answer is 64 since it's the only perfect square number in the options. And i also tried plugging in 64 as x and it's actually right. So plugging in value of x is faster.

@JG-vo8ey Жыл бұрын

You cant use a calculator

@JeremyLionell5 Жыл бұрын

@@JG-vo8ey I wasn't using a calculator.

@reborn6411 Жыл бұрын

@@JG-vo8ey who uses a calculator in THAT question

@MineCraft-nz9pg 6 ай бұрын

Ok smart boy ,you don't have to make me feel so stupid 😅

@Instealer21 Жыл бұрын

I went with 64 because it was choice letter C. When in doubt, choose C. Works everytime.

@koenvandermeer2951 Жыл бұрын

Very important, If x>0

@high1ight520 Жыл бұрын

Elegant 👍🏻

@seanshimon Жыл бұрын

1 sec, it's 64 cause you need an integer result.

@littlejimmy5060 Жыл бұрын

Bro all answers except d are integers

@pepsi4792 Жыл бұрын

@@littlejimmy5060they mean in the problem-x is square rooted -> the only one that comes out rational is 64, and since you’re comparing exponents with the same base, if it’s equal to 2 you alr know there can’t be any irrationals whatsoever

@aricanut9233 11 ай бұрын

@@pepsi4792I am too weak in maths😅 where did the 1/2 go after the squaring part?

@JohnDoe-id5ih 9 ай бұрын

@@aricanut9233I think when the ½ got multiplied by 2 it became 1, but 1 isn't written because it doesn't chamge anything. I'm also bad at maths

@_Paps 8 ай бұрын

@@littlejimmy506064 is a perfect square when square rooted unlike the other options

@massive_corgi3981 Жыл бұрын

Not today gang 👇

@TheBaggyT Ай бұрын

Very nice question. I like it. And well explained too.

@brunococchietto7496 Жыл бұрын

Struth!You are very sharp sir.

@M023b Жыл бұрын

I really miss this easy questions in Engineering Faculty

@RealGovindGupta Жыл бұрын

Outstanding 🔥🔥🔥

@SpurritialTheories 9 ай бұрын

Remember kids, you can always plug in the answers given

@Lady420Ganja 10 ай бұрын

Dude i miss math so much. It made so much sense to me when i was younger. Really one of the only things that provided structure and stability in my life.

@KD-hi6hh 9 ай бұрын

Really? Good for you...For me it was the exact opposite. I couldn't understand any of this and still don't. I failed Algebra in 10th grade which was a later catalyst to dropping out go HS completely. I see these math Shorts and it triggers terrible memories for me.

@Clappybara. 26 күн бұрын

Solved it by taking the log. Works as well

@anshgupta2882 Жыл бұрын

49 can be written as root7^4 which can again be written as root7^root16 Now as we root7 and root 7 on both th sdies we can write root(24-rootx) = root 16 by squaring on both th sides we get 16=24-rootx by sending 24 to other side we get 16-24=-8 then -8=rootx by squaring on both the sides we get 64=x which is an quite easy method though it looks difficult due to my notepad settings

@CJ-im2uu Жыл бұрын

When will I ever need this? Everyone who truly sucks at math past 3rd grade..

@paulinavalentinaite935 Жыл бұрын

Omg thank you so much that helped me sooo much

@AEJCompany 9 ай бұрын

Damn. I enjoyed this solving

@abcd91208 Жыл бұрын

By looking at the choices we can clearly say answer is 64 as it is a perfect square. You can substitute choices as well

@mball5764 Жыл бұрын

Thank you for sharing.

@hamadbalhareth9670 Жыл бұрын

It’s much easier to quickly plug the answers to quickly see which choice gives a simple 49, if time is a concern

@darthraider450 Жыл бұрын

It's even easier to plug 64 into the equation and work that way. Root 64 is 8, 24 minus 8 is 16, root 16 is 4, cancel the root then 2 is left, and 7 squared is 49

@The_mario_bro 4 ай бұрын

Did anyone notice how he effortlessly colour coded this equation? True talent

@user-tt3cm2xm9l Жыл бұрын

great videos!!!!!!!😍😍😍😍

@tenseex6159 8 ай бұрын

You genius..

@turbogaming8808 Жыл бұрын

Us Indians have always been taught to "send to the other side of the equation". No teacher never really gave me the logic behind it but it's much quicker than how other people do it(adding or multiplying to both sides of the equation)

@GEfromNJ Жыл бұрын

Not Indian, but where I grew up in NY we also did the same thing. Send it to the other side (as opposed to performing the same operation on both sides). Maybe it comes down to the teacher?

@turbogaming8808 Жыл бұрын

@@GEfromNJ In India everyone does it like that maybe in NY someone people do it the normal way others the shifting way idk.

@Addads1 Жыл бұрын

That not today option looking mighty fine.

@nevermind6537 Жыл бұрын

I like it becz he doesn't say "take this number the other side of the "=" sign instead follows the rule

@aarushimalik1899 3 ай бұрын

You can also just put the equation in desmos to get the answer quicker

@Jxmu. Күн бұрын

Rare comment section where majority didn't know. I'm glad people are being educated on this matter.

@chappy48 8 ай бұрын

I remember when this was considered a hard problem. Those were the days.

@doctorharikrishnan Жыл бұрын

Good Problem

@blobbo_ 7 ай бұрын

Good explain

@setarehabak4340 Ай бұрын

You make it look too easy😊 but it's going to be hard to remember. Can you sometimes give more details like about the radical or the powers how do you bring them or how to convert them. Thank you

@Samma55 Жыл бұрын

Wooow you are awesome 💞

@tinyhyukjae_ 11 ай бұрын

✨ Shift Solve ✨

@jyamubandicomedy2488 9 ай бұрын

Thank you so much😍 As a math Lover I found the right for me🙏🙏🙏🙏🙏

@natashamartens9190 Жыл бұрын

When you see a big complex problem just break it into simpler elements.

@michaeldominguezjr7503 Жыл бұрын

Dude you make it look so easy. Hope you become a math teacher some day

@kumarharsh837 Жыл бұрын

This is actually easy .. But the way he presents the solution is quite satisfactory, he is a good teacher

@notarobot9545 11 ай бұрын

Math like this is just straight up so fun

@idlesquadron7283 10 ай бұрын

True. "letters in math" diffs arithmetic any day

@VinhNguyen-de7wh 8 ай бұрын

Not today got me dying 💀

@nathanjones9558 Жыл бұрын

Cool....easy peasy

@wickedgoddess7410 Жыл бұрын

Choice (D) is looking juicy

@corriewarren1934 Жыл бұрын

These shorts make me feel stupid. But they keep my mind going so keep them up

@simohayha6031 3 ай бұрын

I just substitute the difficult part sometimes and reason my way to a simplified equation. Sqrt7 squared is 7, which squared is 49. So in other words if the exponent in the sqrt7 is equal to 4 we have a solution. So just set the exp equal to 4 and then it's just square, move the 24 away, cancel the minus and square again to get it. Essentially it's a easy logic step that makes you skip actual algebraic steps.

@BoaterFamily 8 ай бұрын

I just used this last week when I was trying to balance the checkbook. Thank goodness we all learned this.

@faisalhussain1178 11 ай бұрын

Not today brother, definitely not today 😂

@codykoch8342 6 ай бұрын

You should verify how you multiplied 1/2 by 2 to get your next equation line

@lurlenemax8628 Жыл бұрын

You need to explain more how you get 71/2 and others.

@vb0077 Жыл бұрын

7^½ is the same as writing "sqrt(7)"

@Apat815 7 ай бұрын

Square root of 7 to the 4th is 49, so the exponent has to be 4. 4 squared is 16 so the square root quantity has to be 16. Therefore, you need to have 24-8. 8 squared means 64 goes in for X and that’s your answer. Simple