Algebra 1: Common Core (15th Edition)

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


The answer is $x=10/(\sqrt2-1)$.

Work Step by Step

Given: $5\sqrt2/(\sqrt2-1)=x/ \sqrt2$ By cross multiplication, we get $5\sqrt2*\sqrt2=x*(\sqrt2-1)$ $5*2=x*(\sqrt2-1)$ $x=10/(\sqrt2-1)$
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