Answer
$\dfrac{7\sqrt{3y}}{3y}$
Work Step by Step
Using the properties of radicals, the given expression, $
\dfrac{7}{\sqrt{3y}}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{7}{\sqrt{3y}}\cdot\dfrac{\sqrt{3y}}{\sqrt{3y}}
\\\\=
\dfrac{7\sqrt{3y}}{3y}
.\end{array}
Note that all variables are assumed to represent positive real numbers.