Algebra and Trigonometry 10th Edition

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

Prerequisites - Review Exercises - Page 63: 53


$2+\sqrt 3$

Work Step by Step

$\frac{1}{2-\sqrt 3}=\frac{1}{2-\sqrt 3}\frac{2+\sqrt 3}{2+\sqrt 3}=\frac{1(2+\sqrt 3)}{2(2)+2(\sqrt x3)-\sqrt 3(2)-\sqrt 3(\sqrt 3)}=\frac{2+\sqrt 3}{4-(\sqrt 3)^2}=\frac{2+\sqrt 3}{4-3}=\frac{2+\sqrt 3}{1}=2+\sqrt 3$
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