Learning how to simplify the quotient of a radical expression

The video tutorial explains how to take the root of a fraction by rewriting it as separate square roots for the numerator and denominator. It demonstrates simplifying square roots of numbers and variables, such as 9 and X to the 4th power, and emphasizes the importance of reducing the final expression to its simplest form, resulting in X squared over 2.

What is the process to rewrite the root of a fraction?

What is the square root of 9 and how does it relate to the problem?

How can you break down X to the 4th using prime factorization?

What is the simplified form of the expression X^2 / 2?

Why is it important to simplify your final answer in mathematical expressions?