# Worksheet: Rationalizing Denominators of Radicals

In this worksheet, we will practice rationalizing denominators of radicals.

**Q4: **

Given that , , and , find the value of expressing your answer in simplest form.

**Q5: **

What is the conjugate of ? Express your answer in simplest form.

- A
- B
- C
- D
- E

**Q6: **

Given that and , find the value of .

- A
- B
- C
- D

**Q9: **

Simplify .

- A
- B
- C
- D78

**Q12: **

Simplify by rationalizing the denominator.

- A
- B
- C
- D

**Q15: **

Given that , find the values of and .

- A,
- B,
- C,
- D,

**Q16: **

Given that , find the values of and .

- A,
- B,
- C,
- D,

**Q17: **

Given that , find the values of and .

- A,
- B,
- C,
- D,

**Q18: **

Simplify by rationalizing the denominator.

- A
- B
- C
- D

**Q19: **

Simplify by rationalizing the denominator.

- A
- B
- C
- D
- E

**Q20: **

Simplify by rationalizing the denominator.

- A
- B
- C
- D
- E

**Q21: **

Given that and , find expressing your answer in simplest form.

- A28
- B56
- C8
- D

**Q22: **

Simplify by rationalizing the denominator.

- A
- B
- C
- D
- E

**Q23: **

Express in its simplest form.

- A
- B
- C
- D
- E

**Q25: **

Given that and , find .