Algebra: A Combined Approach (4th Edition)

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

Chapter 10 - Section 10.4 - Adding, Subtracting, and Multiplying Radical Expressions - Exercise Set - Page 710: 44

Answer

$\dfrac{\sqrt[3]{y^{5}}}{8}+\dfrac{5y\sqrt[3]{y^{2}}}{4}=\dfrac{11y\sqrt[3]{y^{2}}}{8}$

Work Step by Step

$\dfrac{\sqrt[3]{y^{5}}}{8}+\dfrac{5y\sqrt[3]{y^{2}}}{4}$ Simplify the first term: $\dfrac{\sqrt[3]{y^{5}}}{8}+\dfrac{5y\sqrt[3]{y^{2}}}{4}=\dfrac{y\sqrt[3]{y^{2}}}{8}+\dfrac{5y\sqrt[3]{y^{2}}}{4}=...$ Evaluate the sum and simplify if possible: $...=\Big[\dfrac{y+10y}{8}\Big]\sqrt[3]{y^{2}}=\dfrac{11y}{8}\sqrt[3]{y^{2}}=\dfrac{11y\sqrt[3]{y^{2}}}{8}$
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.