# Worksheet: Simplifying Radicals

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

**Q1: **

Given that , simplify .

- A
- B0
- C
- D

**Q3: **

Given that and , find the value of .

**Q5: **

If and , is it true that ?

- Ano
- Byes

**Q6: **

Simplify .

- A
- B
- C
- D

**Q7: **

Given that , , and , find the value of .

- A
- B
- C
- D

**Q8: **

Given that and , find the value of .

- A
- B
- C
- D1
- E7

**Q10: **

What is the value of ?

- A1
- B2
- C10
- D

**Q11: **

Find the value of .

**Q14: **

What is the value of ?

- A1
- B
- C
- D
- E

**Q15: **

Given that , simplify .

- A
- B
- C
- D
- E

**Q17: **

Simplify .

- A
- B
- C54
- D

**Q18: **

Solve .

- A
- B
- C
- D
- E

**Q20: **

Find the conjugate of , then find the product of and its conjugate.

- A, 249
- B, 249
- C, 1
- D, 126
- E, 255

**Q21: **

Calculate .

**Q22: **

What is the value of ?

- A
- B
- C
- D

**Q23: **

Which of the following is equal to ?

- A
- B
- C
- D
- E

**Q24: **

What is the value of ?

- A
- B
- C8
- D

**Q25: **

Is the cube root of a negative number positive or negative?

- Apositive
- Bnegative