# Worksheet: Operations with Radicals

In this worksheet, we will practice performing mathematical operations on radicals and utilizing the conjugate to rationalize the denominator of a radical.

**Q2: **

Express in its simplest form.

- A
- B
- C
- D

**Q4: **

Express in its simplest form.

- A
- B
- C
- D

**Q5: **

Given that and , find the value of .

- A 16
- B 69
- C
- D

**Q6: **

Simplify .

- A
- B
- C
- D
- E4

**Q7: **

Given that and , find .

**Q8: **

Express in its simplest form.

- A
- B
- C
- D
- E

**Q9: **

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

- A
- B
- C
- D
- E

**Q10: **

Express in its simplest form.

- A
- B
- C 15
- D

**Q11: **

What is the value of ?

**Q12: **

Given that and , find .

**Q13: **

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

- A
- B
- C
- D
- E

**Q14: **

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

- A 7
- B
- C 5
- D
- E

**Q15: **

Given that and , find .

**Q16: **

Given that and , find the value of .

- A
- B
- C
- D
- E

**Q17: **

Given that and , find the value of .

- A
- B
- C 0
- D
- E

**Q18: **

Given that and , find the value of .

**Q19: **

Calculate .

- A
- B
- C
- D
- E

**Q20: **

Express in its simplest form.

- A
- B
- C
- D

**Q21: **

Evaluate .

**Q22: **

Determine the value of .

- A
- B
- C
- D
- E

**Q23: **

Express in its simplest form.

- A
- B
- C
- D
- E

**Q24: **

Find the value of .

- A
- B
- C
- D0

**Q25: **

Given that and , find the value of .