#### Answer

$\sqrt[]{\dfrac{35p}{6q}}$

#### Work Step by Step

Using $\sqrt[a]{x}\sqrt[a]{y}=\sqrt[a]{xy}$, the given expression, $
\sqrt[]{\dfrac{7p}{6}}\sqrt[]{\dfrac{5}{q}}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt[]{\dfrac{7p}{6}\cdot\dfrac{5}{q}}
\\\\=
\sqrt[]{\dfrac{35p}{6q}}
.\end{array}