## Elementary Algebra

$\dfrac{7\sqrt{3y}}{3y}$
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.