# Lesson Worksheet: nth Roots: Expressions and Equations Mathematics

In this worksheet, we will practice simplifying algebraic expressions and solving algebraic equations involving nth roots, where n is a positive integer greater than or equal to 2.

**Q1: **

Simplify: .

- A
- B
- C
- D
- E

**Q2: **

Simplify .

- A
- B
- C
- D
- E

**Q3: **

Write in its simplest form.

- A
- B
- C
- D
- E

**Q4: **

Which of the following has the same value as ?

- Athe length of one side of a cube whose volume is
- Bthe expression
- Cthe length of one side of a square whose area is
- Dthe expression

**Q5: **

Find the value (or values) of if .

**Q6: **

Simplify .

- A
- B
- C
- D
- E

**Q7: **

Find the solution set in for .

- A
- B
- C
- D
- E

**Q8: **

Find the solution set in for .

- A
- B
- C
- D
- E

**Q9: **

Find the solution set in for .

- A
- B
- C
- D
- E

**Q10: **

Find the value (or values) of given that .

- A
- B and
- C and
- D and
- E