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: 40

Answer

$\sqrt{7x}$

Work Step by Step

$\sqrt{63x} - \sqrt{28x}$ By the Product Rule for Square Roots $=(\sqrt{9} \cdot \sqrt{7x}) - (\sqrt{4} \cdot \sqrt{7x})$ $=3\sqrt{7x} - 2\sqrt{7x}$ By the Distributive Property $=(3-2)\sqrt{7x}$ $=\sqrt{7x}$
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