Answer
$\sqrt{34}$
Work Step by Step
Using $\sqrt{x}\cdot\sqrt{y}=\sqrt{xy}$ or the product rule of radicals, the given expression, $
\sqrt{2}\cdot\sqrt{17}
,$ is equivalent to
\begin{array}{l}\require{cancel}
\sqrt{2(17)}
\\\\=
\sqrt{34}
.\end{array}
