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 718: 46



Work Step by Step

$\sqrt{\dfrac{3}{2}}$ Rewrite this expression as $\dfrac{\sqrt{3}}{\sqrt{2}}$: $\sqrt{\dfrac{3}{2}}=\dfrac{\sqrt{3}}{\sqrt{2}}=...$ Multiply this expression by $\dfrac{\sqrt{3}}{\sqrt{3}}$ and simplify if possible: $...=\dfrac{\sqrt{3}}{\sqrt{2}}\cdot\dfrac{\sqrt{3}}{\sqrt{3}}=\dfrac{\sqrt{3^{2}}}{\sqrt{6}}=\dfrac{3}{\sqrt{6}}$
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.