Dividing Radical Expressions With Variables and Exponents

This algebra video tutorial explains how to divide radical expressions with variables and exponents. It contains plenty of examples and practice problems.

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Square Roots and Cube Roots:

Simplifying Radical Expressions:

Multiplying Radical Expressions:

Adding & Subtracting Radicals:

Simplifying Cube Root Expressions:

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Rationalizing The Denominator:

Multiplying Radicals With Different Indices:

How To Solve Radical Equations:

Solving Equations With Cube Roots:

Solving Complex Radical Equations:

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How To Graph Radical Functions:

Domain of Radical Functions:

How To Graph Cube Root Functions:

Radical Expressions - Test Review:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

Exponents - Formula Sheet:

[jennniblett]

I'm taking Calculus right now and my prof always says the biggest mistakes mathematicians make are not putting an answer as Absolute value, rather than just "X" after being X to the power of 2, 4, 6, all even numbers that would cancel the potential negative. THanks for teaching it properly

[tuuku]

"what!? still searching youtube for math help?" I really dislike this ad. it sounded more like an insult.

[Adurited]

Thank you so much for your help! I was having a hard time with dividing radicals but you came through!

[mathlee]

In rationalizing step, 7:55
He multiplied by the cube root of b^(3) to the second power and he had in the denominator the cube root of b

[ixakumaxi]

I was really struggling thanks to the fact that my teacher despite being a nice guy even trying couldn't teach worse he might be the worst teacher in the school system however this video helped me still pass my midterms and finals so thanks!

[karifofo]

Its very helpful! but the variables are confusing sometimes but if you rewatch it you can get it alot better

[ohnonotthevampire]

The problem you solve at 4:44 I understood everything up until you simplified at the end by using the cubed squared root of b squared? How did it go from the cubed root of b in the denominator to the cubed root of b squared? Why didn't it just stay the same? Why did it go from b to b squared?

[kingwind]

There lots of subscribers but there are only few who liked his videos

[alexarguijo]

7:55 when rationalizing the denominator, why was cube root b^2 and not cube root b.

[Durei.rei_]

Thanks for making my lesson a TLDR, u made a 1 hour lesson to a 12 minutes video, thanks :DD

[alexfuller]

4:29 doesn't the answer have x squared instead of x cubed? I actually tried to follow out each equation and, with each variable set as 2, the original equation gives 54.3, the simplified equation with x squared gives 54.3, and the simplified equation with x cubed gives 108.6.

So unless I typed something into the calculator wrong, the answer for 4:29 should have x squared.

[josephtanasi]

So the reason I think he multiplies it by b squared is because on the bottom where trying to get 'b' to be a regular variable not to the power of anything so we can add it to b^4. So this we have a cube root of 3 with b on the inside, by multiplying that by the cube root of b^2 we will get b^3 and the cube root of b^3 is just b so we can then add that to b^4 and get b^5.

[bastavlog]

Thanks bro you really helped me out!!!

[asurfingbird]

10:55, how exactly did you get the fourth root of 1/2? Was it from the remainder of the fourth root of 2^5?

[christianaceruperto]

You kinda lost me in the last problem lol

[gellicaluna]

In 8:02, why was it multiplied by √b*2?

[zaldyidos]

you cant cancle the 25x and 2x because this number is in, inthe radicand sign

[kamila]

Why did it get more complex to the point where i didnt even get what i needed outta dis 😭

[krazy]

"Are videos from 2006 really helping??" Yes. Yes they do.

[hanf]

Nice explanation, but you can factor out 4 even further than that 4 factors out to 2...