Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Section 7.5 - Multiplying with More Than One Term and Rationalizing Denominators - Exercise Set: 42

Answer

$\frac{1}{x} \sqrt{6x}$

Work Step by Step

Rationalize the denominator by multiplying $x$ to both the numerator and the denominator of the radicand to obtain: $=\sqrt{\dfrac{6\cdot x}{x \cdot x}} \\=\sqrt{\dfrac{6x}{x^2}} \\=\sqrt{\dfrac{1}{x^2} \cdot 6x}$ Simplify to obtain: $=\frac{1}{x} \sqrt{6x}$
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