Rationalize the Denominator and Simplify With Radicals, Variables, Square Roots, Cube Roots, Algebra

This Algebra 2 video tutorial explains how to rationalize the denominator and simplify radical expressions containing variables such as square roots and cube roots. This video contains plenty of examples and practice problems.

Square Roots and Cube Roots:

Simplifying Radical Expressions:

Multiplying Radical Expressions:

Adding & Subtracting Radicals:

Simplifying Cube Root Expressions:

__________________________________
Rationalizing The Denominator:

Multiplying Radicals With Different Indices:

How To Solve Radical Equations:

Solving Equations With Cube Roots:

Solving Complex Radical Equations:

____________________________________
How To Graph Radical Functions:

Domain of Radical Functions:

How To Graph Cube Root Functions:

Radical Expressions - Test Review:

____________________________________
Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[rosalindmarfo]

You know you're screwed when good ol' Organic Chemistry Tutor can't help ya now....

[emmanuelmorales]

Thanks for your help. I looked at my textbook examples and they weren't as detailed as your examples. Now I understand them thanks to you. Great video!

[RoyceThomas-nf]

This guy has taught me more in the span of 3 yt videos (about 30 min) than I have learned in the past 2 months(I am doubled up in math too)

[VDGOAT]

I got 95% on my test after this
This means so much, thx

[jln_ily]

Sir!! Thank you for your EXISTENCE!!! 🎉🎉🎉👏

[michaelbanks]

√8/4 can be reduced further. √4√2/4= 2√2/4= √2/2

[williamrawa]

You make so much more sense than my teacher. Thank you so much.

[dannnnydannnn]

I'm scheduled to take a math placement test on Monday at 6:00pm and right now it's Friday 7:30pm. The online course I paid for has mistakenly blocked my access to the course and can't seem to figure out what's going on in my account. Out of the 10 weeks I paid for, I've only been able to use it consistently for maybe half that time.
You are really helping me learn a lot of these concepts and I appreciate your channel a lot man.

[jesdeletion]

Some of your examples are not fully simplified, so a professor/teacher will count them as being incorrect. sqrt of 8 divided by 4 equals sqrt of 2 divided by 2

[rosem]

Thank you! This was very helpful; not only with the explanations but because you made us practice at the same time. Loved it

[kenzaelaissi]

I have a midterm this morning and just realised when revising before i go that i have a problem with rationalising the dominator, thank you for saving me

[lovecatpiecares]

tomorrow in our country will be the math exam... and i'm a little confused of rationalizing the denominator.. and then an idea popped in my head... i need to watch some tutorials, and i found this! well it help a lot!! so thank you very much!! AND i said to myself "hmm, what if i watch another video to this channel?" so yeah! i really watch another and it help too!! thank so

[bobprottas]

On page 1 you need to simplify SQRT(8)/4 to SQRT(2)/2.
On page 2 you need to simplify 2SQRT(4x)/x to 4SQRT(x)/x.

[c.on.i]

YOU LITERALLY SAVE ME EVERYDAY I LOVE YOU SO MUCH

[butterflytobe]

You've solution to my every problem 👁️♥️

[sanopann]

5:33 why didn't you multiply the radical 2 times radical 2

[chilimilky]

Thank you for giving us these videos!😉😉 I hope you won't stop being a hero by saving our grades in Math!!!😂😂😂😂

[vibewithkaey]

u literally solved so many of my problems god bless u

[tutorials_with_mateyo]

Tutorial's are still helpful till date👏🏽... I guess knowledge is the only definite thing which can never be taken away from oneself.. thank you🙏🏽

[nadeemkhalil]

I swear you're better then half of the teacher i met in my life