College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.8 - nth Roots; Rational Exponents - R.8 Assess Your Understanding: 57



Work Step by Step

We rationalize the denominator: $\displaystyle \frac{5}{\sqrt{2}-1}=\frac{5(\sqrt{2}+1)}{(\sqrt{2}-1)(\sqrt{2}+1)}=\frac{5(\sqrt{2}+1)}{2-1}=5(\sqrt{2}+1)=5\sqrt{2}+5$
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.