Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.4 Dividing Radical Expressions - 10.4 Exercise Set: 68

Answer

$\dfrac{5}{\sqrt[3]{100}}$

Work Step by Step

Rationalizing the numerator, the given expression, $ \dfrac{\sqrt[3]{5}}{\sqrt[3]{4}} ,$ is equivalent to \begin{array}{l} \dfrac{\sqrt[3]{5}}{\sqrt[3]{4}}\cdot\dfrac{\sqrt[3]{5^2}}{\sqrt[3]{5^2}} \\\\= \dfrac{\sqrt[3]{5^3}}{\sqrt[3]{4\cdot25}} \\\\= \dfrac{5}{\sqrt[3]{100}} .\end{array}
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