Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.7 Radical Expressions - R.7 Exercises: 51

Answer

$\color{blue}{-\frac{1}{2}\sqrt[3]{5}}$

Work Step by Step

Factor the radicand so that one factor is a perfect cube to obtain: $=-\sqrt[3]{\left(\frac{1}{8}\right)(5)} \\=-\sqrt{\left(\frac{1}{2}\right)^3(5)}$ Bring out the cube root of the perfect cube factor to obtain: $\\=\color{blue}{-\frac{1}{2}\sqrt[3]{5}}$
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