# Worksheet: Operations with Square Roots

In this worksheet, we will practice solving problems on the operations of the square roots and finding the conjugates of radical expressions and their product.

**Q2: **

Simplify by combining similar terms.

- A
- B
- C
- D
- E

**Q6: **

Calculate .

- A
- B
- C
- D
- E

**Q7: **

Express in its simplest form.

- A
- B
- C
- D
- E

**Q8: **

Simplify .

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- B
- C
- D
- E

**Q9: **

Calculate .

**Q10: **

Calculate .

- A
- B
- C
- D
- E

**Q12: **

Simplify .

- A
- B
- C
- D
- E

**Q13: **

Given that and , find .

**Q14: **

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

- A
- B
- C
- D
- E

**Q15: **

What is the conjugate of ? Find the product of and its conjugate.

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- B
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- D
- E

**Q16: **

What is the conjugate of ? What is the product of and its conjugate?

- A
- B
- C
- D
- E

**Q17: **

Given that , find the value of .

- A 8 or 4
- B 0 or 4
- C 2 or 8
- D 0 or 8

**Q18: **

Simplify .

- A
- B
- C
- D3

**Q19: **

Express in its simplest form.

- A
- B
- C
- D
- E

**Q20: **

Given that , evaluate .

**Q21: **

Given that and , find .

- A
- B
- C
- D

**Q22: **

Given that and , find .

- A1
- B
- C
- D

**Q23: **

Calculate .

- A
- B
- C
- D
- E

**Q24: **

Calculate .

- A
- B
- C
- D

**Q25: **

Calculate .