Answer
$$2\sqrt[3] 3$$
Work Step by Step
We can use the product rule for square roots to rewrite the radicand as a product of the greatest perfect cube factor and another factor. We can see that the radicand $24$ can be broken down into two factors: the perfect cube $8$ and $3$:
$$(\sqrt[3] 8)(\sqrt[3] 3)$$
Because $8$ is a perfect cube, we go ahead and simplify the expression by taking the cube root of $8$, which is $2$:
$$2\sqrt[3] 3$$