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 - Page 586: 110

Answer

$5(x+8)\times\sqrt{6(x+8)}$

Work Step by Step

$\sqrt{150(x+8)^3}$ Factor out perfect squares. $\sqrt{25\times 6\times(x+8)^2\times(x+8)}$ Use the Product Property of Square Roots. $\sqrt25\times\sqrt6\times\sqrt{(x+8)^2}\times\sqrt{x+8}$ Simplify. $5\times\sqrt6\times(x+8)\times\sqrt{x+8}$ Use the Product Property of Square Roots. $5(x+8)\times\sqrt{6(x+8)}$
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