## Related questions with answers

Question

For the following exercises, find the principal square root. $\sqrt[5]{-243}$

Solution

VerifiedStep 1

1 of 2$\begin{gathered} \sqrt[5]{{ - 243}} \\ \textcolor{#4257b2}{ {\text{Rewrite }} - 243{\text{ as }}{\left( { - 3} \right)^5}{\text{, so}}} \\ \sqrt[5]{{ - 243}} = \sqrt[5]{{{{\left( { - 3} \right)}^5}}} \\ \textcolor{#4257b2}{{\text{Simplify}}{\text{,}}} \\ \sqrt[5]{{{{\left( { - 3} \right)}^5}}} = - 3 \\ \end{gathered}$

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