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 Review Exercises - Page 670: 34

Answer

$4xy\sqrt [3] {y^2}$

Work Step by Step

Rewrite the radicand as the product of factors such that you can take the cube root of certain factors: $\sqrt [3] {4^3 • x^3 • y^3 • y^2}$ Take the cube roots of terms to take them out from under the radical sign: $4 • x • y\sqrt [3] {y^2}$ Simplify the radical by multiplying the coefficients: $4xy\sqrt [3] {y^2}$
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