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: 60



Work Step by Step

$\sqrt[3]{\dfrac{9y}{7}}$ Rewrite this expression as $\dfrac{\sqrt[3]{9y}}{\sqrt[3]{7}}$: $\sqrt[3]{\dfrac{9y}{7}}=\dfrac{\sqrt[3]{9y}}{\sqrt[3]{7}}=...$ Multiply this fraction by $\dfrac{\sqrt[3]{3y^{2}}}{\sqrt[3]{3y^{2}}}$ and simplify if possible: $...=\dfrac{\sqrt[3]{9y}}{\sqrt[3]{7}}\cdot\dfrac{\sqrt[3]{3y^{2}}}{\sqrt[3]{3y^{2}}}=\dfrac{\sqrt[3]{27y^{3}}}{\sqrt[3]{21y^{2}}}=\dfrac{3y}{\sqrt[3]{21y^{2}}}$
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.