Multiple Choice
Simplify the root.
11. Roots, Radicals, and Complex Numbers
Introduction to Radical Expressions
Multiple Choice
Use a calculator to evaluate the following and round to the nearest hundredths.
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Verified step by step guidance1
Identify the expression to evaluate: the fifth root of 75, which can be written as \(\sqrt[5]{75}\).
Recall that the fifth root of a number \(a\) is the same as raising \(a\) to the power of \(\frac{1}{5}\), so rewrite the expression as \(75^{\frac{1}{5}}\).
Use a calculator to compute \(75^{\frac{1}{5}}\) by entering 75, then using the exponentiation function with the exponent 0.2 (since \(\frac{1}{5} = 0.2\)).
After calculating the value, round the result to the nearest hundredths place, which means keeping two digits after the decimal point.
Write down the rounded value as the final answer.
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