Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.5 - Integrated Review - Radicals and Rational Exponents: 40

Answer

$\frac{x-4}{x\sqrt x+2x}$

Work Step by Step

$\frac{\sqrt x-2}{\sqrt x}\times\frac{\sqrt x+2}{\sqrt x+2}$ =$\frac{(\sqrt x-2)(\sqrt x+2)}{x(\sqrt x+2)}$ =$\frac{\sqrt x(\sqrt x+2)-2(\sqrt x+2)}{x\sqrt x+2x}$ =$\frac{x+2\sqrt x-2\sqrt x-4}{x\sqrt x+2x}$ =$\frac{x-4}{x\sqrt x+2x}$
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