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: 109

Answer

$3(x+4)\times\sqrt{10(x+4)}$

Work Step by Step

$\sqrt{90(x+4)^3}$ Factor out perfect squares. $\sqrt{9\times 10\times(x+4)^2\times(x+4)}$ Use the Product Property of Square Roots. $\sqrt9\times\sqrt{10}\times\sqrt{(x+4)^2}\times\sqrt{x+4}$ Simplify. $3\times\sqrt{10}\times(x+4)\times\sqrt{x+4}$ Use the Product Property of Square Roots. $3(x+4)\times\sqrt{10(x+4)}$
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