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: 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: $...=\Big[\dfrac{y+10y}{8}\Big]\sqrt[3]{y^{2}}=\dfrac{11y}{8}\sqrt[3]{y^{2}}=\dfrac{11y\sqrt[3]{y^{2}}}{8}$
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