Rationalize the Denominator Quiz (5 Questions)

1. Rationalize: 1 / (1 + √2)

2. Rationalize: 3 / (2 − √5)

3. True or False: Multiply by the conjugate changes the fraction value

4. Simplify: 1 / (√3 + 1) × (√3 − 1) / (√3 − 1)

5. What is the conjugate of (5 + √7)?

Answer Key

1. (1 − √2) / (−1) = √2 − 1

2. 3(2 + √5) / (4 − 5) = (6 + 3√5) / (−1) = −6 − 3√5

3. False

4. (√3 − 1) / 2

5. 5 − √7