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 634: 72

Answer

$5n\sqrt [5] {10m^3}$

Work Step by Step

Rewrite each radicand as the product of two factors such that you can take the 5th root of one of the factors: $\sqrt [5] {10 • m^3 • n^5} + 4n\sqrt [5] {10m^3}$ Take the 5th roots of terms to take them out from under the radical sign: $n\sqrt [5] {10m^3} + 4n\sqrt [5] {10m^3}$ Combine like terms: $5n\sqrt [5] {10m^3}$
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