Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 8 - Section 8.2 - Multiplying and Dividing Radicals - Exercise Set: 40

Answer

$2x^4\sqrt{6}$

Work Step by Step

Getting the perfect factors and then extracting its root, the simplified form of the given expression, $ \sqrt{24x^{8}} ,$ is \begin{array}{l}\require{cancel} \sqrt{4x^8\cdot6} \\\\= \sqrt{(2x^4)^2\cdot6} \\\\= 2x^4\sqrt{6} .\end{array}
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