College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Summary, Review, and Test - Review Exercises: 61

Answer

$13\sqrt[3] 2$

Work Step by Step

$4\sqrt[3] 16+5\sqrt[3] 2=4\sqrt[3] (8\times2)+5\sqrt[3] 2=(4\times\sqrt[3] 8\times\sqrt[3] 2)+5\sqrt[3] 2=(4\times2\times\sqrt[3] 2)+5\sqrt[3] 2=8\sqrt[3] 2+5\sqrt[3] 2=(8+5)\sqrt[3] 2=13\sqrt[3] 2$ We know that $\sqrt[3] 8=2$, because $2^{3}=8$.
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