Answer
$3\sqrt[3]{2}$
Work Step by Step
Using $\sqrt{x}\cdot\sqrt{y}=\sqrt{xy}$ or the product rule of radicals, the given expression, $
\sqrt[3]{9}\cdot\sqrt[3]{6}
,$ is equivalent to
\begin{array}{l}\require{cancel}
\sqrt[3]{9(6)}
\\\\=
\sqrt[3]{54}
\\\\=
\sqrt[3]{27\cdot2}
\\\\=
\\\\=
\sqrt[3]{(3)^3\cdot2}
\\\\=
3\sqrt[3]{2}
.\end{array}
Note that variables are assumed to have positive real numbers.
