College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.7 - Rational Expressions - P.7 Exercises - Page 52: 90



Work Step by Step

We simplify the fraction by multiplying through by $\sqrt{x}+\sqrt{y}$ and using the fact that $(a-b)(a+b)=a^2-b^2$: $\displaystyle \frac{2(x-y)}{\sqrt{x}-\sqrt{y}}=\frac{2(x-y)}{\sqrt{x}-\sqrt{y}} \displaystyle \frac{\sqrt{x}+\sqrt{y}}{\sqrt{x}+\sqrt{y}}=\frac{2(x-y)(\sqrt{x}+\sqrt{y})}{x-y}=2(\sqrt{x}+\sqrt{y})=2\sqrt{x}+2\sqrt{y}$
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.