# Worksheet: Cube Root of a Rational Number

In this worksheet, we will practice finding the cube root of a rational number using factorization or calculators and solving equations that include a cube root.

**Q2: **

Determine whether the cubic root of a perfect cube is a rational or an irrational number.

- A a rational number
- B an irrational number

**Q3: **

Find the value of .

- A
- B
- C
- D
- E

**Q5: **

Evaluate .

- A
- B
- C
- D
- E

**Q7: **

If possible, find the value of which satisfies , given that is in .

- A
- BNo value exists.
- C
- D
- E

**Q8: **

Determine whether the cube root of a rational number, which is not a perfect cube, is a rational or an irrational number.

- A an irrational number
- B a rational number

**Q9: **

Find the value of .

**Q10: **

Find the value of .

- A
- B
- C 0
- D
- E

**Q11: **

Express in its simplest form.

- A
- B
- C
- D

**Q12: **

Which of the following is true?

- A
- B
- C
- D

**Q13: **

Given that , find the value of , and state whether it is a rational or irrational number.

- A4, irrational
- B , rational
- C4, rational
- D , irrational
- E , irrational

**Q14: **

Find the value of .

**Q15: **

Calculate .

**Q16: **

Find the value of .

- A
- B
- C
- D
- E

**Q17: **

Half the cube of a number is 0.0625. Determine the number.