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

$2x^4\sqrt{2x}$
Using the properties of radicals, the given expression, $\sqrt{8x^9} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt{4x^8\cdot2x} \\\\= \sqrt{(2x^4)^2\cdot2x} .\\\\= 2x^4\sqrt{2x} \end{array} * Note that it is assumed that no radicands were formed by raising negative numbers to even powers.