Use a calculator to evaluate the following and round to the nearest hundredths.
${}^5\sqrt{75}$

• A. $8.66$
• B. $43.30$
• C. $2.37$
• D. $4.22$

Answer: (C)

Verified step by step guidance

1. Identify the expression to evaluate: the fifth root of 75, which can be written as \(\sqrt[5]{75}\).
2. 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 \(75^{\frac{1}{5}}\).
3. Use a calculator to compute \(75^{\frac{1}{5}}\) by entering 75, then using the exponentiation function to raise it to 0.2 (since \(\frac{1}{5} = 0.2\)).
4. After calculating the value, round the result to the nearest hundredths place, which means keeping two digits after the decimal point.
5. Write down the rounded answer as the final result of the evaluation.