Answer
$5\sqrt{2}+5$
Work Step by Step
Multiply using the conjugate
$\frac{5}{\sqrt{2}-1}\cdot \frac{\sqrt{2}+1}{\sqrt{2}+1}=\frac{5\sqrt{2}+5}{2-1}={5\sqrt{2}+5}$
Algebra 1
by Hall, Prentice
Published by
Prentice Hall
ISBN 10:
0133500403
ISBN 13:
978-0-13350-040-0
Chapter 10 - Radical Expressions and Equations - 10-3 Operations with Radial Expressions - Practice and Problem-Solving Exercises - Page 616: 30
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