Simplify the square root of a number with multiple variables

The video tutorial explains how to apply prime factorization to a mathematical expression involving both numbers and variables. It begins by breaking down the number 18 into its prime factors and then expresses the variables as products of themselves according to their exponents. The tutorial concludes by simplifying the expression and highlighting shortcuts for future problems.

What is the prime factorization of the number 18?

• 2 * 3 * 3

• 2 * 2 * 2

• 3 * 3 * 3

• 2 * 2 * 3

How can W^4 be expressed in expanded form?

• W

• W * W * W * W

• W * W * W

• W * W

Which of the following represents X^3 in expanded form?

• X * X * X * X

• X * X * X

• X

• X * X

What is the simplified form of W * W?

• W^3

• W^2

• W

• W^4

In the final expression, which operation is used to simplify pairs of factors?

• Division

• Multiplication

• Subtraction

• Addition