Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.5 - Rationalizing Numerators and Denominators of Radical Expressions - Exercise Set - Page 717: 4



Work Step by Step

$\sqrt{\dfrac{1}{2}}$ Rewrite this expression as $\dfrac{\sqrt{1}}{\sqrt{2}}$: $\sqrt{\dfrac{1}{2}}=\dfrac{\sqrt{1}}{\sqrt{2}}=\dfrac{1}{\sqrt{2}}=...$ Multiply the fraction by $\dfrac{\sqrt{2}}{\sqrt{2}}$ and simplify: $...=\dfrac{1}{\sqrt{2}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}}=\dfrac{\sqrt{2}}{\sqrt{2^{2}}}=\dfrac{\sqrt{2}}{2}$
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.