Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Prerequisites - Review Exercises - Page 63: 54


$\frac{\sqrt 5-1}{4}$

Work Step by Step

$\frac{1}{\sqrt 5+1}=\frac{1}{\sqrt 5+1}\frac{\sqrt 5-1}{\sqrt 5-1}=\frac{1(\sqrt 5-1)}{\sqrt 5(\sqrt 5)+\sqrt 5(-1)+1(\sqrt 5)-1(1)}=\frac{\sqrt 5-1}{(\sqrt 5)^2-1}=\frac{\sqrt 5-1}{5-1}=\frac{\sqrt 5-1}{4}$
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