## Elementary Algebra

$\dfrac{2\sqrt{xy}}{xy}$
Using the properties of radicals, the given expression, $\dfrac{2}{\sqrt{xy}} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{2}{\sqrt{xy}}\cdot\dfrac{\sqrt{xy}}{\sqrt{xy}} \\\\= \dfrac{2\sqrt{xy}}{xy} .\end{array} Note that all variables are assumed to represent positive real numbers.