College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.3 - Page 48: 39

Answer

$3\sqrt{2x}$

Work Step by Step

$\sqrt{50x} - \sqrt{8x}$ By the Product Rule for Square Roots $=(\sqrt{25} \cdot \sqrt{2x}) - (\sqrt{4} \cdot \sqrt{2x})$ $=5\sqrt{2x} - 2\sqrt{2x}$ By the Distributive Property $=(5-2)\sqrt{2x}$ $=3\sqrt{2x}$
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