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Evaluate the following, Click on "Not a real number" if applicable, (a) \( \sqrt[4]{-81}=\square \) (b) \( \sqrt[3]{-64}=\square \)

Ask by Erickson Vaughn. in the United States
Mar 11,2025

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**(a) \( \sqrt[4]{-81} \) is not a real number.** **(b) \( \sqrt[3]{-64} = -4 \).

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Beyond the Answer

For (a) \( \sqrt[4]{-81} \): The fourth root of a negative number doesn't exist in the realm of real numbers because no real number raised to an even power can yield a negative result. Hence, the answer is "Not a real number." For (b) \( \sqrt[3]{-64} \): This expression evaluates to \(-4\) because the cube root can accommodate negative numbers. In other words, \((-4) \times (-4) \times (-4) = -64\). Thus, the answer is \(-4\).

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