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 - Page 633: 35



Work Step by Step

Factor the radicand so that at least one factor is a perfect fourth power: $=\sqrt[4]{16n^4p^4(60m^3p)} \\=\sqrt[4]{2^4n^4p^4(60m^3p)}$ Bring out the fourth root of the perfect fourth root factors to obtain: $=\color{blue}{2np\sqrt[4]{60m^3p}}$
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