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 - Chapter Test - Page 671: 14

Answer

$-2np^2\sqrt {m^3n^2}$

Work Step by Step

Rewrite radicands to separate out factors such that we can take their fifth roots: $\sqrt {-2^5 • m^3 • n^5 • n^2 • p^10}$ Take the fifth roots: $-2 • n • p^2\sqrt {m^3n^2}$ Multiply the coefficients: $-2np^2\sqrt {m^3n^2}$
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