Learn how to rationalize denominator when radicand is a binomial

The video tutorial explains how to rationalize a radical expression by multiplying by X^2 - 4. It demonstrates the process of simplifying the expression using the difference of two squares, resulting in a final expression of sqrt(X^2 - 4) / (X + 2). The tutorial emphasizes the importance of rationalizing the denominator and provides a step-by-step guide to achieve this.

What is the primary goal when rationalizing the denominator of a radical expression?

• To eliminate the radical from the numerator

• To simplify the entire expression

• To remove the radical from the denominator

• To multiply by the conjugate

Which expression is used to rationalize the denominator in the given problem?

• X^2 + 4

• X^2 - 4

• X + 2

• X - 2

What happens to the numerator when multiplying by X^2 - 4?

• It changes to X^2 - 4

• It remains unchanged

• It becomes zero

• It doubles

How can X^2 - 4 be further simplified?

• By using the sum of cubes

• By using the difference of two squares

• By factoring out a common factor

• By completing the square

What is the final simplified form of the expression?

• sqrt(X^2 - 4) / (X - 2)

• X + 2

• X^2 - 4

• sqrt(X^2 - 4) / (X + 2)