Answer
$0.4$
Work Step by Step
To find the root of this radical, we will rewrite the radicand as a base raised to the 3rd power because we want to take the 3rd root of this number. We rewrite $0.064$ as $0.4^3$:
$\sqrt[3] {0.064}$ = $\sqrt[3] {0.4^3}$
To get rid of the radical, we take the 3rd root of $0.064$:
$\sqrt[3] {0.064}$ = $0.4$
We only want to take the real roots, so $0.4$ is a valid answer because rational numbers are real numbers.
