Rationalizing the denominator of a radical monomial expression

The video tutorial explains how to simplify a radical expression by rationalizing the denominator. It begins by introducing the concept of breaking down radicals and then demonstrates how to simplify the expression by grouping terms and rationalizing the denominator. The tutorial concludes with the final simplification of the expression, ensuring the denominator is free of radicals.

What is the first step in simplifying a radical expression by rationalizing the denominator?

• Multiply the numerator and denominator by the same radical.

• Break the expression into separate square roots.

• Divide the expression by a rational number.

• Add a constant to the expression.

How can the expression sqrt(y^3) be simplified?

• sqrt(y^2) * y

• y^3

• y^2 * sqrt(y)

• y * sqrt(y)

What is the purpose of multiplying the numerator and denominator by the same radical expression?

• To simplify the numerator.

• To eliminate the radical from the numerator.

• To change the value of the expression.

• To rationalize the denominator.

What happens when you multiply sqrt(x) by itself?

• It remains sqrt(x).

• It becomes x^2.

• It becomes 2x.

• It becomes x.

After rationalizing the denominator, what is the final form of the expression?

• 10y^2

• 10y

• y^2

• y