Rationalizing the Denominator

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

Simplify: 4 over root 10
Simplify: the square root of the fraction 3 elevenths
Simplify: 5 over root 5
Simplify: 3 over root 6
Simplify: the square root of the fraction x over 6
Simplify: the square root of the fraction 6 over x
Simplify: 1 over root 18
Simplify: 10 over root 12
Simplify: the square root of the fraction 3 over 32x
Simplify: 2 over the cube root of 4
Simplify: the fourth root of the fraction 2 over 9a
Simplify: the fraction with numerator root 2 and denominator root 3 + root 2
Simplify: the fraction with numerator root 2 + 3 and denominator root 2 minus 3
Simplify: the fraction with numerator root 2 + 3 and denominator root 2 minus root 3
Simplify: the fraction with numerator 3 + root 5 and denominator 2 + root 3