## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$5y^2\sqrt{3y}$
Using the properties of radicals, the given expression, $\sqrt{75y^5} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt{25y^4\cdot3y} \\\\= \sqrt{(5y^2)^2\cdot3y} .\\\\= 5y^2\sqrt{3y} \end{array} * Note that it is assumed that no radicands were formed by raising negative numbers to even powers.