#### Answer

$3\sqrt{22}$

#### Work Step by Step

Using the properties of radicals, the given expression, $
\sqrt{6}\sqrt{33}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt{6(33)}
\\\\=
\sqrt{3\cdot2(3\cdot11)}
\\\\=
\sqrt{(3)^2\cdot2\cdot11}
\\\\=
\sqrt{(3)^2\cdot22}
\\\\=
3\sqrt{22}
\end{array}