Answer
$2\sqrt{3}$
Work Step by Step
Using the properties of radicals, the given expression, $
\sqrt{2}\sqrt{6}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt{2(6)}
\\\\=
\sqrt{12}
\\\\=
\sqrt{4\cdot3}
\\\\=
\sqrt{(2)^2\cdot3}
\\\\=
2\sqrt{3}
\end{array}