## Elementary Algebra

$2x\sqrt[]{7xy}$
Using the properties of radicals, the given expression, $\sqrt[]{28x^3y} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt[]{4x^2\cdot7xy} \\\\= \sqrt[]{(2x)^2\cdot7xy} \\\\= 2x\sqrt[]{7xy} .\end{array} Note that all of the variables are assumed to represent non-negative real numbers.