Simplify a radical expression with variables

👉 Learn how to simplify the square root of an expression. The square root of an expression is an expression which will multiply itself twice to give the original expression. To simplify the square root of an expression, we decompose/factor the expression into a product of two terms that are the same. The term of the product is the required square root.
When the radical cannot be conveniently decomposed/factored into two same terms, we factor the radical into a product of a perfect square and a non-perfect square. Using the product/quotient rule of radicals the perfect square is evaluated and the non-perfect square is left as a radical.
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Organized Videos:
✅How To Simplify a Radical Expression
• How To Simplify a Radi...
✅How To Simplify The Cube Root of a Number
• How To Simplify The Cu...
✅How to Simplify The 4th Root of a Number
• How to Simplify The 4t...
✅How to Simplify the Square Root of a Number
• How to Simplify the Sq...
✅How to Simplify The Square Root of a Number with Coefficient
• How to Simplify The Sq...
✅How to Simplify Expressions | 4th Root
• How to Simplify Expres...
✅How to Simplify Radical Expressions | 5th Root
• How to Simplify Radica...
✅How to Simplify Radical Expressions | Cube Root
• How to Simplify Radica...
✅How to Simplify Radical Expressions | Learn About
• How to Simplify Radica...
✅How to Simplify Radical Expressions | Easy
• How to Simplify Radica...
✅How to Simplify Radical Expressions | Hard
• How to Simplify Radica...
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👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: www.freemathvi...
#Simplifyradicals #radicals #brianmclogan

[@brianmclogan]

More Examples Simplifying Radicals - th-cam.com/play/PL0G-Nd0V5ZMp53jELWvQp4KFgD-pLmQ0Q.html

[@allahiseternall]

I give a big fuckin like to this video

[@LittleRapGuy]

good video

[@californiadreamin8423]

Hello Brian, from across the pond. Excellent video. I’m beginning to realise that manipulation of these square root problems, was a major gap in my knowledge 55 years ago !! when I did my O and A levels and onto Engineering at Uni…..or perhaps it’s my memory 🙀
I find it very straightforward and yet…..

[@abhinavbaral204]

I do better watching 2 min of this than learning for 45 min in my class. Thank you

[@acceptablexy4805]

well i guess you didn't find the video helpful cause it was 5 minutes

[@jasiribandele5601]

Tom Hopkins idm he was joking😭

[@mycavidal7165]

lmaooo same bruh😂

[@vv1034]

Hahahaha same

[@nigelbaraquia3404]

Lol....same

[@definitelynotwalter]

9 years later and still a saviour.

[@preppymaemid4126]

10 years later still goin hard

[@delapenajudieljess1230]

nice pfp

[@Madggs]

10 years now

[@s_squid_s]

12 years later and still popping off

[@Rik904]

11 years now

[@sinkidonk8259]

I think this had been the best video I found yet on simplifying square roots with variables, thank you I am trying to study up for a math placement test for college

[@StudyBlanca]

wow, this is me right now

[@eebijeebi6885]

@@StudyBlanca Good luck!

[@jakethekid55]

nah watch the organic math guy or whatever he has a method which is like 2 steps

[@23vbg]

I do so much better in class because of your 5 minutes videos than sitting for 1 hr in class. Thank you

[@kryo5579]

I'm watching this right before my test wish me luck lol

[@drewelliott3132]

Kryo literally same lmao pre calc

[@kryo5579]

@@drewelliott3132 Ace it man

[@snowangel2209]

Same

[@LastGREATEST0]

Same

[@Jakethegreat182.]

Good luck to everyone here

[@lucablue8126]

Do you film your lessons as a teacher then post them here? Because that’s brilliant.. never worry about a sick day again.

[@brianmclogan]

yes I do Luca!

[@cydra-evolution5623]

@@brianmclogan bro just cut out parts of the video after you record so students arent afraid of asking questions

[@ZikzakHD]

@@brianmclogan Hey. I'd like to study in your high school is that possible ?

[@rogerbenson9544]

This aged well haha. This is how everything was done for the school shutdowns

[@kokokoko3936]

Our teacher literally makes us figure everything by ourselves as if we know wtf to do

[@kokokoko3936]

this user can't be reached Okay...but this is different. He gives us something we don’t know how to do and makes us do it. If we say we don’t know what to do he tells us to look it up.

[@Alex-rx2cm]

I totally understand what ur talking about. Some teachers just aren't meant to be teachers. Some should have retired already because they left their patience in 1765

[@eunosmedia90]

This dude explains it better than alot of teachers ive had thank you

[@BigAirr.]

My man you have saved me again

[@Insaneflightreacts]

11 years later and this dude is saving me the night before finals

[@tylerm3m3]

you are a saint. bless your soul. learned more watching this than in class.

[@vishnukikkeri9187]

I need you as my math teacher

[@providence3977]

Say no more - Your pfp says it all :P

[@atavierreed2267]

ikr lol

[@nikolaskatanjian4226]

Thanks to your videos I got a B on my final👍🏼🤩

[@brianmclogan]

awesome! Congrats to you Nikolas. Happy to be there for you

[@official_lissana2358]

Don’t call this person stupid he tried very hard and a B is not bad that’s actually an 80 الرداعي قهرهم

[@heshamhesh2516]

Official_ Lissana k buddy

[@kchen4896]

Lol الرداعي قهرهم

[@sharmilaallam3455]

@@official_lissana2358 ssssss right

[@alexshuparskyy6052]

Just got into 8th grade and i can't understand crap its just so hard for me

[@brianmclogan]

take a breath and slow done, this is not a race, you can understand this stuff, practice and give yourself time

[@BigAirr.]

Feel you

[@aedanmayschak5827]

Same with me but I'm a sevie in accelerated

[@blkout6202]

Im in honors math in 7th grade. So I'm learning this stuff

[@Ry_TSG]

legit ness same. I took algebra when I was in seventh grade as well.

[@santilocos]

You are a lifesaver. We're taking a quiz on this on Monday, and this video prepared me a lot.

[@user-bl6ux4jt6m]

my final is in 3 hours and you're a quick life saver for all the concepts im still confused on thank you!!!!

[@wicked_mia]

When you’re watching this 5 minutes before a quiz 😎 summer school gang😌✌🏼
Edit: I got an A on the quiz!!!😁😁

[@adnankashalo1409]

congrats! 2 months late but still

[@amarehinton5015]

I’m in summer school too

[@tankuser4276]

I dunno why but I smile and sometimes laugh when I see math teachers taking their time thinking. I could visualize their brain sweating from thinking too hard lol

[@brianmclogan]

Simplify the square root (Noob vs Expert) - th-cam.com/video/X4SBPlCnV2c/w-d-xo.html

[@chloe._.ey21]

i srsly was born to not understand math :(

[@elroe327]

Same

[@cerareid240]

CHOGIWAADANABEONENEUKKYEO same

[@gracietara8723]

CHOGIWAADANABEONENEUKKYEO sammmeeee like bruhhh

[@Godakuri]

What's so hard to understand. Explain and I'll explain it to you

[@Godakuri]

This video was a bit more confusing than the others. But you basically want to find two numbers that go into 48. That would be 16 and 3
Square root of 16 is 4, and square root of 3 cannot be simplified. So, 4 would go on the outside of the square root, while 3 stays inside
4 × sqrt 3

[@marrinarice8658]

math has ALWAYS been one of my easiest/favorite courses, but i have a horrible precalc. teacher this year. he rushes through the steps and he never likes to help with the questions we have. he’ll just say “go watch the video on schoology, but it’s just a video of the notes we did and the explanations on how to do the problems are still weak. then on the homework we’ll have problems with more steps and nothing in the notes helps me. I’ve never had a B- in math until this year and it’s crazy to know that everything matters on how your teacher presents the material to the class.

[@Sultan_A]

🌟🌠 Very Good, Brian McLogan, Keep It Up 🌠🌟

[@Gangsta-Bobb]

I forgot how to do math over the summer and this saved my ass in AP Pre-calc 🙏🙏🙏Thank you

[@jacobdoolittle2044]

Currently Active duty taking online college, pre-calculus was killing me until I came across your videos! THANK YOU!

[@williamestes4169]

You must be praised. I have been looking for a good explanation for hours!!!!! That was what I was looking for thanks. Subbed!

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We learn from you from Saudi Arabia teacher. Thank you❤️

[@itslululemons6949]

Watching this right before my test :/! Thanks for the help :)

[@izzyyy9471]

Did you do good?

[@itslululemons6949]

@@izzyyy9471 i got an 100 :)

[@izzyyy9471]

@@itslululemons6949 Yayyy! :D

[@Dr_N0]

@@itslululemons6949 i hope u fail all your classes from now on

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I got a final tmw this is the only thing I don’t understand you just saved me 🎉🎉🎉

[@ImLOL006]

Thanks a lot! You are out here SAVING LIVES istg!

[@llongdong]

Outstanding!! You should be King of the World.

[@RiseAndRenewtoday]

11 years later its even better

[@Rasqberries]

11 years later and he’s still a legend

[@thebestking4615]

This guy is a legend! Thanks so much!

[@j.h170]

I could go back and rewatch my school's original lesson recording, but it's 40 minutes long and I can't be bothered. This is easier and faster, thank you.

[@skyzlar]

Your videos have saved me- I have a 90 minute algebra class and I’ve learned nothing this year so I have to go home and look stuff up on TH-cam.

[@suspectpanda3879]

Watchin this minutes before a test. Thanks my guy your a chad

[@loganayesh5472]

It all makes sense now you’re a genius

[@brianmclogan]

yes.

[@gabynevarez]

At 5:04 why is there 2 y's in the index and then when you rewrite it theres only one y on the outside im confused

[@victoria-cm6xm]

Gabriela Nevarez BC in algebra, yy would be considered as y^2. Which is y to the 2nd power. So he rewrote the problem so that the y is doubled up? Idrk how to explain it

[@1Giorno_1cup]

Bruh wish I had you as my video teacher, my video teacher is just like *writes down and goes over one problem and expects you to know it*

[@alliegrace9948]

this guy a life saver fr

[@asiaf4914]

THANK YOU. idk why i cant understand what my professor is saying, I just couldn't get it but this really helped a lot. THANK YOU!

[@omaralhajji540]

Bro ur such a life saver this one example helped more then a whole tutour

[@BRYCEC00K]

Thank you this video was helpful I was absent and this is what we we’re learning

[@bootertrooper3596]

Mr clean comes in clutch every single time

[@bzgamer41]

I have a test on radicals and inverses tomorrow. this helped!!!

[@AbeWinkin]

This video has just helped me so much. It answered so many questions. Thanks, Brian.🙂 Now I will like and subscribe.

[@brianmclogan]

If you sign in to receive my newsletter, You will receive an email from me with my ebook. You can simply respond to that email. I do not want to post the address on TH-cam for sake of spam

[@laura-yh6fv]

THANK you omg I can’t do math for shit and I’m in 11th grade....going into consumer math

[@kzcreationzmore]

This guy explains in under 6 minutes what my math teacher hasnt been able to make me understand in 3 weeks

[@KieraClements]

12 years later and still a god send

[@lavaniadelrey2807]

You are a genius

[@poochi7587]

Still didn't get it

[@arkan7rb]

thank u sir
greetings from Yemen

[@ihearthazza4885]

dude this guy has helped me so much

[@merkow]

This dude teaches better than my Math Teacher

[@abenezerwondewosen]

wow teacher it was clear for me.

[@moelester5509]

You are a great person

[@abbeyharris7967]

my final for math is tomorrow i don’t get any of the math so i keep looking it up on here and this guy keeps popping up. I get it my teacher doesn’t teach so thank you, be my teacher

[@InsighterofTech]

Thanks a lot man, really appreciate this video. I didn't understand what my algebra teacher was saying, or teaching at all. I finally understand now, so thank you again man.

[@brianmclogan]

You are very welcome?!

[@saka1029]

√(48x²y⁵) = 4 |x| y²√(3y) You should consider the case of x

[@shen144]

I'm not sure if they have considered domains yet

[@kodyhoriuchi172]

This would normally be a superfluous step because x is an unknown value. Unless it is equal to something, the unknown value x can remain unknown meaning it can be positive or negative when solving. For argument sake, we'll say that it is positive so it's less for us to do

[@mohamedhelal8932]

Right u r

[@thiagoamodio75]

helped a lot thanks

[@brianmclogan]

Glad it helped

[@mekhaterrence6246]

Thanks brian mc logan

[@vivienreysoriano1256]

Thank you so much!

[@mars-nr8sx]

i hate to say this bc my algebra 2 teacher is amazing, but this 2 minute clip taught me more than the hr and 15min lecture did😅

[@Moll662]

got my sat next month!

[@elaine-mw7li]

a life saver

[@luckymahir5615]

the dude at the end "why didin't you do 4 * 12"😂

[@Ramesh-ny2ik]

I want to have you as my teacher because my teacher never explains me the way you do like easy and faster way to learn

[@mdavis3262]

You sr are the GOAT

[@daynepiscione7748]

ive got a math test on radicals tmr... ill update this when i get the grade back :))

[@sahir4341]

THANK YOU SO MUCH

[@WeHateAjay]

Ok I’m in 9th grade and I don’t understand how to do -21 radical 27x to the 9th power

[@shaunyjimenez9637]

Same 😔

[@evanweglarz9778]

I don’t even try to pay attention in class anymore because it’s much easier just to watch these kind of vids

[@asmodeuszdewa7194]

But this video is wrong

[@micsxii9150]

Thank you sir,im always watching ur videos😁

[@troyacker5305]

I wish you were my teacher

[@anthonysafo473]

Thank god for you

[@ChristianMercado-41hornet]

Nice one sir😉

[@Siete77739]

I forgot this was a video and I was about to ask a question

[@kaiaeuao]

THANK YOU OMG

[@kimayliahenriques]

thanks

[@Mariela0183aa]

Can u be my teacher you explain so well 👏😭🙏

[@crissunknown8920]

Army 💙💙

[@chinmayeekatti9781]

I’m watching this in the middle of my test please help me

[@providence3977]

That’s cheating >:(

[@joejohnbloggstestupload]

Your videos are fantastic and I really enjoy them. Thank you! However, these radical simplifications are surely misleading? The reason is if you don't stipulate your bases to be >0 then you can run into a lot of problems. The power rules you are using here are generally not all applicable if the base is negative and the power is either irrational or rational with an even denominator (like 1/2). For example if a,b

[@trustnallah8184]

Please note that the square root of X squared = absolute value of X not just X. This is what many people don’t realize.

[@tonyhaddad1394]

Mann you have complicated the problem (its quite easy )

[@ogsigs]

the question at the end🤣🤣🤣🤣😂😂

[@laxzazazaza8278]

These vids are god sends,after the online school year,i had no knowledge in my math class due to a mix of it being online,not being able to focus,and being a slacking son of a bitch,only passing thanks to random calculators online,as of current its nipping me in the ass,and yet,these videos are making it possible to survive in my class,and pass no less,despite basically missing a year of math,without these i woulda already been dead in the water man.

[@kingaki1116]

W bald guys carrying my math grades

[@emero3665]

At 4:44 how do you determine what variables go outside and what variables go in the inside?

[@scaythe8858]

U must find the square root of each if it has square root then put the square root of it outside

[@evanrichter8141]

yex

[@marioivezaj154]

boutta buy all ur merch

[@05w47d]

Yes I have many questions

[@axo_9685]

iv watched like 10 videos and still dont understand

[@rovin1037]

Still goated after 12 years

[@richardslater677]

To be honest, I think there is a debate to be had as to whether the result is simplified or more complicated!

[@SarahMitchell-n2p]

deff more complicated

[@farrelleyt7784]

Hero thx

[@brianmclogan]

Welcome

[@Rycethegoat]

You need to include the abs value bars in the case that x is a negative number

[@glowkami]

why does every other video make us do like 500 other steps when we could literally do this LOL

[@brianmclogan]

No idea

[@serarose6876]

Lmao I know that it’s taken from his last name but can we just talk about how his merch says Logang??? I can only think of Logan Paul

[@marques5635]

Lol

[@icebear1465]

Ice Bear thanks you