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: 40

Answer

$\color{blue}{3tu^2\sqrt[5]{s^3}}$

Work Step by Step

Factor the radicand so that at least one factor is a perfect fifth power: $=\sqrt[5]{243t^5u^{10}(s^3)} \\=\sqrt[5]{3^5t^5(u^2)^5(s^3)}$ Bring out the fifth root of the perfect fifth power factors to obtain: $=\color{blue}{3tu^2\sqrt[5]{s^3}}$
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