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
$=(3-2)\sqrt{7x}$
$=\sqrt{7x}$
College Algebra (6th Edition)
by Blitzer, Robert F.
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: 40
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