## Elementary Algebra

$4xy\sqrt{3x}$
Using the properties of radicals, the given expression, $\sqrt{48x^3y^2} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt{16x^2y^2\cdot3x} \\\\= \sqrt{(4xy)^2\cdot3x} \\\\= 4xy\sqrt{3x} .\end{array} Note that all variables are assumed to have positive values.