Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Section 7.4 - Adding, Subtracting, and Multiplying Radical Expressions - Exercise Set - Page 439: 27

Answer

$20y\sqrt[]{2y}$

Work Step by Step

Using the properties of radicals, then, \begin{array}{l} 5y\sqrt[]{8y}+2\sqrt[]{50y^3} \\= 5y\sqrt[]{4\cdot2y}+2\sqrt[]{25y^2\cdot2y} \\= 5y\cdot2\sqrt[]{2y}+2\cdot5y\sqrt[]{2y} \\= 10y\sqrt[]{2y}+10y\sqrt[]{2y} \\= 20y\sqrt[]{2y} .\end{array}
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