Algebra and Trigonometry 10th Edition

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

Prerequisites - P.5 - Rational Expressions - Exercises - Page 49: 67


$\frac{1}{(\sqrt{t+3}+\sqrt 3)}$

Work Step by Step

$\frac{\sqrt{t+3}-\sqrt 3}{t}=\frac{(\sqrt{t+3}-\sqrt 3)(\sqrt{t+3}+\sqrt 3)}{t(\sqrt{t+3}+\sqrt 3)}=\frac{t+3-3}{t(\sqrt{t+3}+\sqrt 3)}=\frac{t}{t(\sqrt{t+3}+\sqrt 3)}=\frac{1}{(\sqrt{t+3}+\sqrt 3)}$
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