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

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - Review Exercises: Chapter 10: 25

Answer

$5xy\sqrt[]{10x}$

Work Step by Step

Extracting the factors that are perfect powers of the index, the given expression simplifies to \begin{array}{l}\require{cancel} \sqrt[]{250x^3y^2} \\\\= \sqrt[]{25x^2y^2\cdot10x} \\\\= \sqrt[]{(5xy)^2\cdot10x} \\\\= 5xy\sqrt[]{10x} .\end{array} Note that all variables are assumed to represent positive numbers.
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