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: 36

Answer

$(2x-4)\sqrt[3]{6}$

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: $=\sqrt[3]{8(x-2)^3(6)} \\=\sqrt[3]{2^3(x-2)^3(6)} \\=2(x-2)\sqrt[3]{6} \\=(2x-4)\sqrt[3]{6}$
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