# 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

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