Rationalize The Denominator

This algebra video tutorial explains how to rationalize the denominator with radicals and variables by multiplying the numerator and denominator by the something that will eliminate the radical expression in the denominator. 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:

[alwayzdancing]

Thank you for helping me figure out how to rationalize fractions with more than one term! Slogging out through Pre-Calc.

[georgesadler]

MR. Organic Chemistry Tutor, thank you for another fantastic video/lecture on Rationalizing The Denominator in Algebra. This topic is helpful in Trigonometry and Calculus.

[Flubber-qzyy]

quick tip: remember that some teachers would prefer decimals to be expressed as fractions, so 0.75 is worse than 3/4

[taggartknutson]

i love your videos they help me so much! thank you!

[lifeofluxury]

This your first video I've watched and did not get clarity. Otherwise, the other ones I've seen are clear enough to make anyone understand Maths, so thump down for me this time around

[Idgafstfu]

wait wwhy all of a sudden are we multiplying by 4y instead of the same number^2 like in all the rest of the problems??? how am i supposed to know when to do that or not do that?

[thechisensei]

6.8=48. so it shd be 2 cube root of 6 over 4 .. then simplified as cube root of 6 over 2..

[gulledhaydar]

At 10:03, it must be z to the 7th power . Otherwise, it is a perfect lesson on simplifying radicals

[ducducankarenmae]

At 3:59, the final answer should be cube root of 6 over 2

[davidhamilton]

I like most of your video but the explanation you provided to rationalize cube root denominators is lacking at best.😢

[ducducankarenmae]

Sir, at 3:59, i think thats not yet the final answer. You can still simplify it

[GontlafetseSeleke-qeev]

Cam you pls explain why did by root x instead of 2root x

[kylaildurkulo]

Sir, can I reduce to lowest terms the 20 and 14 in 20+√2/ 14?

[bananowykot]

i cant find a solution for 1:30 but instead of 5 its x, and instead of rationalising i need to express it in the form x^n

[Selfimprovementaddict]

6:45 shouldn't xyz be inside an absolute value

[JacobMachenje]

Thank you very much, I've gotten it

[maknify]

cube root of 48 over 4 can still be simplified

[HassanAli-kwyp]

Man you are amazing. thank you so much

[erezsolomon]

1:00 in this example you take sqrt(x)*sqrt(x) to be sqrt(x^2), but this only works if x is positive. sqrt(x)*sqrt(x) is (sqrt(x))^2 which is just x

[SuperMoha]

I don't know what to say to you, many many thanks 😉