Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Review - Page 747: 92


$\frac{3\sqrt 2}{4x}$

Work Step by Step

$\sqrt \frac{8}{x^{2}}-\sqrt \frac{50}{16x^{2}}$ =$\frac{\sqrt 8}{\sqrt {x^{2}}}-\frac{\sqrt {50}}{\sqrt {16x^{2}}}$ =$\frac{\sqrt {4\times2}}{\sqrt {x^{2}}}-\frac{\sqrt {2\times25}}{\sqrt {16x^{2}}}$ =$\frac{2\sqrt {2}}{x}-\frac{5\sqrt {2}}{4x}$ =$\frac{4(2\sqrt {2})-5\sqrt 2}{4x}$ =$\frac{8\sqrt {2}-5\sqrt 2}{4x}$ =$\frac{3\sqrt 2}{4x}$
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