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: 38

Answer

$\color{blue}{2b^2c^5\sqrt[4]{3a^3c}}$

Work Step by Step

Factor the radicand so that at least one factor is a perfect fourth power: $=\sqrt[4]{16b^8c^{20}(3a^3c)} \\=\sqrt[4]{2^4(b^2)^4(c^5)^4(3a^3c)}$ Bring out the fourth root of the perfect fourth power factors to obtain: $=\color{blue}{2b^2c^5\sqrt[4]{3a^3c}}$
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