## Elementary Algebra

$5y^2\sqrt{2x}$
Using the properties of radicals, the given expression, $\sqrt{50xy^4} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt{25y^4\cdot2x} \\\\= \sqrt{(5y^2)^2\cdot2x} \\\\= 5y^2\sqrt{2x} .\end{array} Note that all variables are assumed to have positive values.