Answer
$-3$
Work Step by Step
To find the root of this radical, we will rewrite the radicand as a base raised to the 5th power because we want to take the 5th root of this number. We rewrite $-243$ as $(-3)^5$:
$\sqrt[5] {-243}$ = $\sqrt[5] {(-3)^5}$
To get rid of the radical, we take the 5th root of $-243$. If we are taking the odd-number root of a negative number, the result will be a negative number, which is a real number:
$\sqrt[5] {-243}$ = $-3$
We only want to take the real roots, so $-3$ is a valid answer because it is a real number.
