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: 51

Answer

$x\sqrt y$

Work Step by Step

Step 1: $2\sqrt {4x^{2}y}-3x\sqrt y$ Step 2: $2(\sqrt {4x^{2}}\times\sqrt y)-3x\sqrt y$ Step 3: $2(2x\times\sqrt y)-3x\sqrt y$ Step 4: $4x\sqrt y-3x\sqrt y$ Step 5: $\sqrt y(4x-3x)$ Step 6: $\sqrt y(x)$ Step 7: $x\sqrt y$
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