Intermediate Algebra (6th Edition)

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

Chapter 7 - Section 7.3 - Simplifying Radical Expressions - Exercise Set: 65

Answer

10

Work Step by Step

The quotient rule holds that $\frac{\sqrt[n] a}{\sqrt[n] b}=\sqrt[n] (\frac{a}{b})$ (where $\sqrt[n] a$ and $\sqrt[n] b$ are real numbers and $\sqrt[n] b$ is nonzero). Therefore, $\frac{5\sqrt[4] 48}{\sqrt[4] 3}=5\sqrt[4] (\frac{48}{3})=5\sqrt[4] 16=5\times2=10$ We know that $\sqrt[4] 16=2$, because $2^{4}=16$
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