Simplify radical expressions by finding quotient, fourth root

The video tutorial explains how to simplify a mathematical expression by dividing and finding the fourth root. It starts with rewriting the expression as a radical, then divides 162 by 2 to get 81. The tutorial demonstrates finding the fourth root of 81, which is 3, and then discusses taking the fourth root of variables X and Y. The process concludes with simplifying the expression by extracting roots and understanding the placement of terms.

What is the result of dividing 162 by 2 in the expression?

• 80

• 83

• 81

• 82

Which number, when multiplied by itself four times, equals 81?

• 4

• 3

• 5

• 2

What is the fourth root of X to the 4th?

• X^4

• X

• X^2

• X^3

What is the fourth root of Y to the 8th?

• Y^3

• Y^4

• Y^2

• Y

Why does Y^2 remain below X in the expression?

• Because Y^2 is larger than X

• Because X and Y are the same base

• Because Y^2 is part of the denominator

• Because X is part of the denominator