In this worksheet, we will practice calculating and simplifying expressions that involve the nth root.

Q1:

A car accelerates at a rate of where is the time in seconds after the car moves from rest. Simplify this expression.

• A
• B
• C
• D
• E

Q2:

Simplify .

• A
• B
• C
• D

Q3:

Given that , simplify .

• A
• B
• C
• D0

Q4:

Simplify .

• A
• B
• C
• D
• E

Q5:

Given that and , find the value of .

Q6:

If where , find the value of .

Q7:

Calculate .

Q8:

If and , is it true that ?

• Ano
• Byes

Q9:

Simplify .

• A
• B
• C
• D

Q10:

Given that , , and , find the value of .

• A
• B
• C
• D

Q11:

Given that and , find the value of .

• A 7
• B 1
• C
• D
• E

Q12:

Calculate .

• A
• B
• C
• D

Q13:

• A
• B
• C
• D

Q14:

Express in its simplest form.

• A
• B
• C
• D
• E

Q15:

Express in its simplest form.

Q16:

What is the value of ?

• A 2
• B
• C 10
• D 1

Q17:

Find the value of .

Q18:

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

• A
• B
• C
• D

Q19:

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

• A
• B
• C
• D

Q20:

Find the value of .

Q21:

Expand and simplify the expression .

• A
• B
• C
• D
• E

Q22:

What is the value of ?

• A
• B
• C
• D 1
• E

Q23:

Given that , simplify .

• A
• B
• C
• D
• E

Q24:

Simplify .

• A
• B
• C
• D
• E

Q25:

Given that find the values of and .

• A ,
• B ,
• C ,
• D ,
• E ,