Answer
$3\sqrt[3] {2}$
Work Step by Step
Recall, $\sqrt[3] a \times \sqrt[3] b = \sqrt[3] {a \times b}$. Thus, we can multiply 9 and 6 to obtain the simplified expression:
$\sqrt[3] {9 \times 6} = \sqrt[3] {54}$
In order to simplify a cube root, we consider the factors of the number inside of the cube root. If any of these factors are perfect cubes, meaning that their cube root is an integer, then we can simplify the expression. We know that 27 and 2 are factors of 54. We know that 27 is a perfect cube, so we simplify:
$\sqrt[3] {27} \sqrt[3] {2}=3\sqrt[3] {2}$
