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: 68


$\frac{1}{(\sqrt{x+5}+\sqrt 5)}$

Work Step by Step

$\frac{\sqrt{x+5}-\sqrt 5}{x}=\frac{(\sqrt{x+5}-\sqrt 5)(\sqrt{x+5}+\sqrt 5)}{x(\sqrt{x+5}+\sqrt 5)}=\frac{x+5-5}{x(\sqrt{x+5}+\sqrt 5)}=\frac{x}{x(\sqrt{x+5}+\sqrt 5)}=\frac{1}{(\sqrt{x+5}+\sqrt 5)}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.