Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Section 7.3 - Multiplying and Simplifying Radical Expressions - Exercise Set: 35

Answer

$f(x) =(2x+4)\sqrt[3]{4}$

Work Step by Step

Factor the expression inside the radical so that at least one factor is a perfect cube, and then simplify to obtain: $f(x) = \sqrt[3]{8(x+2)^3(4)} \\f(x)=\sqrt[3]{2^3(x+2)^3(4)} \\f(x) =2(x+2)\sqrt[3]{4} \\f(x)=(2x+4)\sqrt[3]{4}$
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