# Chapter 10 - Exponents and Radicals - 10.3 Multiplying Radical Expressions - 10.3 Exercise Set - Page 647: 31

$2x^4\sqrt{2x}$

#### Work Step by Step

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.

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