Evaluate cube root of 17^2

Problem

√(3,17)

Solution

1. Rewrite the expression using rational exponents. The cube root of a number raised to a power can be expressed as that number raised to the power divided by the root index.

√(3,17)=17

2. Calculate the square of the base number.

17=289

3. Express the result in radical form.

√(3,17)=√(3,289)

4. Approximate the value using a calculator if a decimal representation is required.

√(3,289)≈6.611489

Final Answer

√(3,17)=√(3,289)

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