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

Published by Pearson

# Chapter 10 - Exponents and Radicals - 10.3 Multiplying Radical Expressions - 10.3 Exercise Set: 56

#### Answer

$3x^2\sqrt[4]{10x}$

#### Work Step by Step

Extracting the factors that are perfect roots of the given index, the given expression, $\sqrt[4]{810x^9} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt[4]{81x^8\cdot10x} \\\\= \sqrt[4]{(3x^2)^4\cdot10x} \\\\= 3x^2\sqrt[4]{10x} \end{array} * Note that it is assumed that no radicands were formed by raising negative numbers to even powers.

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