Simplifying Radicals

This algebra video tutorial explains how to simplify radicals with variables and exponents. These include square roots and cube roots with positive and negative numbers as well as x and y variables. This video explains when to use the absolute value expression when simplifying radicals. It also explains how to convert a radical expression into an algebraic expression with rational exponents. This video contains plenty of examples and practice problems on simplifying radical expressions.

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:

[easeea]

I don't usually leave comments, but dude, you're the best. Thank you so much.

[staceya]

I second an earlier comment. Thank you!!! Why can't My MathLab have videos like this! I got a perfect score on my 1111 midterm because of this guy. He's the best. He explains in ways I understand.

[miabomback]

you and adam norris are singlehandedly saving my acedemic career this year.

[georgesadler]

MR. Organic Chemistry Tutor, thank you for another well explained video/lecture on Simplifying Radicals. Radicals appear in all levels of Science and Engineering, however simplifying them makes algebraic expression easier to understand.

[barneycasting]

I am a math teacher and very lazy! Each year the school renews my contract because they think i am good with math. But they don't know I am watching your vides to learn Math. You are giving me a chance to put food on my table!

[sheila]

omg this helped so much. I felt so dumb cause i couldn’t understand simple math but now that i understand it i’m so happy

[yatziricarrillo]

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[cjguitars]

POV: this channel teaches better than school

[ramondeangelo]

Always an awesome lesson. Thanks buddy.

[seventeencomedykings]

saved my life with this video, thank you!

[andrescientos]

0:01 The reason there is an "index number of 2" is because the little symbol that represents a "square root" (the side ways "L" with a squiggly line) is a chopped off corner of an actual square. A cube root should actually have an extra diagonal line, like chopping off the corner of a cube, and there should also be an invisible "3"

I do not understand the purpose of doing the absolute value thing if you get an odd exponent... the dude just says "it is so" and doesn't explain any further.

[simoneeureka]

So why wouldn’t you further simply by bringing the 4 down to 2 as 4 is the square root of 2?

[liv]

first day of school and i’ve already been lost for like 30 minutes into my hw so i came here obv

[kamarannadi]

when u did 3 √(27) 3 √(2) and put 3 under 3 √(27) i got super confused cause isn't it suppose to be 9? someone tell me why its 3 pls

[kitadriantiulamela]

Why is there a need to put an absolute value symbol?

[marylynncarroll]

I like your work, however you take the answer away too soon, I always have to rewind to see the last figure and comment! Thanks

[jhewi]

damn i should’nt have gone 2 years with out taking a math class

[xan]

Jesus Christ loves us all

pray continually, 1 Thessalonians 5:17

[baebaesuzy]

Ya'll lying bc this made me more confused. Wth is the index

[sallysamad]

I didn't understand this idea in 16:36 can anybody explain plzzzz