Answer
$\frac{a(\sqrt {a+b}+1)}{a+b-1}$
Work Step by Step
Multiply $\frac{\sqrt {a+b}+1}{\sqrt {a+b}+1}$ to the expression, we have:
$\frac{a}{\sqrt {a+b}-1}\cdot \frac{\sqrt {a+b}+1}{\sqrt {a+b}+1}=\frac{a(\sqrt {a+b}+1)}{a+b-1}$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter R - Review of Basic Concepts - R.7 Radical Expressions - R.7 Exercises - Page 76: 108
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