Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 8 - Radical Functions - 8.2 Simplifying, Adding, and Subtracting Radicals - 8.2 Exercises: 33

Answer

$\color{blue}{6xyz^2\sqrt[3]{18y^2z^2}}$

Work Step by Step

Factor the radicand so that at least one factor is a perfect cube: $=\sqrt[3]{216x^3y^3z^6(18y^2z^2)} \\=\sqrt[3]{6^3x^3y^3(z^2)^3(18y^2z^2)}$ Bring out the cube root of the perfect cube factors to obtain: $=\color{blue}{6xyz^2\sqrt[3]{18y^2z^2}}$
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