Answer
$\frac{x-25}{3\sqrt x-15}$
Work Step by Step
$\frac{\sqrt x+5}{3}\times\frac{\sqrt x-5}{\sqrt x-5}$
=$\frac{(\sqrt x+5)(\sqrt x-5)}{3(\sqrt x-5)}$
=$\frac{(\sqrt x)^{2}-(5)^{2}}{3\sqrt x-15}$
=$\frac{x-25}{3\sqrt x-15}$
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
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
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