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 first step when taking the root of a fraction?

• Rewrite the fraction using square roots.

• Subtract the denominator from the numerator.

• Multiply the numerator and denominator by the same number.

• Add the numerator and denominator.

Which of the following is a square number?

• 8

• 11

• 9

• 10

How can X to the 4th power be expressed using square roots?

• X^4

• X

• X^2

• X^3

What is the square root of 36?

• 5

• 6

• 7

• 8

What is the simplified form of the expression X^2 / 6?

• X^2 / 5

• X^2 / 4

• X^2 / 2

• X^2 / 3