Answer
The answer is $x=10/(\sqrt2-1)$.
Work Step by Step
Given: $5\sqrt2/(\sqrt2-1)=x/ \sqrt2$
By cross multiplication, we get
$5\sqrt2*\sqrt2=x*(\sqrt2-1)$
$5*2=x*(\sqrt2-1)$
$x=10/(\sqrt2-1)$
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281140
ISBN 13:
978-0-13328-114-9
Chapter 10 - Radical Expressions and Equations - 10-3 Operations With Radical Expressions - Practice and Problem-Solving Exercises - Page 630: 38
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