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: 51

Answer

$\dfrac{\sqrt[3]{5y^{2}}}{\sqrt[3]{4x}}=\dfrac{5y}{\sqrt[3]{100xy}}$

Work Step by Step

$\dfrac{\sqrt[3]{5y^{2}}}{\sqrt[3]{4x}}$ Multiply this expression by $\dfrac{\sqrt[3]{25y}}{\sqrt[3]{25y}}$ and simplify if possible: $\dfrac{\sqrt[3]{5y^{2}}}{\sqrt[3]{4x}}=\dfrac{\sqrt[3]{5y^{2}}}{\sqrt[3]{4x}}\cdot\dfrac{\sqrt[3]{25y}}{\sqrt[3]{25y}}=\dfrac{\sqrt[3]{125y^{3}}}{\sqrt[3]{100xy}}=\dfrac{5y}{\sqrt[3]{100xy}}$
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