Algebra: A Combined Approach (4th Edition)

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

Chapter 10 - Section 10.5 - Rationalizing Numerators and Denominators of Radical Expressions - Practice - Page 716: 11


$\frac{x-25}{3\sqrt x-15}$

Work Step by Step

$\frac{\sqrt x+5}{3}\times\frac{\sqrt x-5}{\sqrt x-5}$ =$\frac{(\sqrt x+5)(\sqrt x-5)}{3(\sqrt x-5)}$ =$\frac{(\sqrt x)^{2}-(5)^{2}}{3\sqrt x-15}$ =$\frac{x-25}{3\sqrt x-15}$
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