Worksheet: Operations with Cube Roots

In this worksheet, we will practice performing operations on algebraic expressions with cubic roots.

Q1:

Express in its simplest form.

Q2:

Simplify .

• A 18
• B
• C
• D

Q3:

Express in its simplest form.

• A
• B
• C5
• D

Q4:

Simplify .

• A
• B
• C
• D
• E

Q5:

Simplify .

• A
• B
• C
• D
• E

Q6:

Express in its simplest form.

• A
• B
• C
• D
• E

Q7:

Express in its simplest form.

• A
• B
• C
• D

Q8:

Express in its simplest form.

• A
• B 15
• C 60
• D

Q9:

Express in its simplest form.

• A
• B
• C
• D

Q10:

Express in its simplest form.

• A
• B
• C
• D

Q11:

Express in its simplest form.

• A
• B
• C
• D

Q12:

Find the value of .

• A
• B
• C
• D
• E

Q13:

Simplify .

• A8
• B
• C
• D

Q14:

Given that and , find the value of .

Q15:

Given that and , find the value of .

Q16:

Calculate .

Q17:

Determine the value of .

• A
• B
• C
• D
• E

Q18:

Given that and , find the value of .

• A
• B
• C
• D

Q19:

Given that and , find the value of .

• A
• B
• C
• D

Q20:

Express in the form where and are integers and takes the least possible value.

• A
• B
• C
• D

Q21:

• A
• B
• C
• D

Q22:

Express in its simplest form.

• A 4
• B
• C 2
• D

Q23:

Given that and , find the value of .

• A
• B
• C
• D

Q24:

Express in the form where and are integers and takes the least possible value.

• A
• B
• C
• D
• E

Q25:

Express in its simplest form.

• A
• B
• C
• D