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