In this worksheet, we will practice solving equations that include radical expressions, where the variable is the radicand, by raising each side to a power.

**Q5: **

Find the solution set of the equation , given that .

- A
- B
- C
- D
- E

**Q7: **

Given that , find the value of .

- A 27 000
- B324
- C30
- D900

**Q8: **

For what value of is introduced as an extraneous solution to the equation when it is solved in the natural way?

**Q9: **

In order to solve the equation , Fady started with

What solutions did Fady find?

**Q10: **

Given that , find .

**Q12: **

Solve .

**Q13: **

Find the value of given that .

- A 100
- B 10
- C
- D 1 000
- E 30

**Q14: **

Solve .

- A
- B
- C
- D
- E

**Q15: **

Find the solution set of in .

- A
- B
- C
- D

**Q16: **

Solve .

**Q17: **

Solve .

**Q18: **

Consider the following argument for solving :

- .

What mistake was made?

- Anot checking for extraneous solutions
- Bsquaring does not give 9