# 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.

Q1:

Evaluate .

• A
• B or
• C or
• D
• E

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

Q4:

Find the value of .

• A 5
• B
• C
• D
• E

Q5:

Evaluate .

• A
• B
• C
• D
• E

Q6:

Solve .

• A
• B or
• C or
• 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.