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: 66


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

Work Step by Step

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