Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Section 7.5 - Rationalizing Denominators and Numerators of Radical Expressions - Exercise Set - Page 445: 33

Answer

$\dfrac{5\sqrt[5]{4ab^{4}}}{2ab^3}$

Work Step by Step

Rationalizing the denominator of $ \dfrac{5a}{\sqrt[5]{8a^9b^{11}}} $ results to \begin{array}{l} \dfrac{5a}{\sqrt[5]{8a^9b^{11}}} \cdot \dfrac{\sqrt[5]{4ab^{4}}}{\sqrt[5]{4ab^{4}}} \\\\= \dfrac{5a\sqrt[5]{4ab^{4}}}{\sqrt[5]{32a^{10}b^{15}}} \\\\= \dfrac{5a\sqrt[5]{4ab^{4}}}{2a^2b^3} \\\\= \dfrac{5\sqrt[5]{4ab^{4}}}{2ab^3} .\end{array}
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