Algebra: A Combined Approach (4th Edition)

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

Chapter 10 - Section 10.5 - Rationalizing Numerators and Denominators of Radical Expressions - Practice: 2

Answer

$\frac{3\sqrt y}{2y}$

Work Step by Step

To rationalize we must get rid of the square root in the denominator. We can do this by multiplying $\sqrt 16y$ with the numerator and the denominator. $\frac{2\sqrt 9}{\sqrt 16y}\times\frac{\sqrt 16y}{\sqrt 16y}=\frac{2\sqrt 144y}{16y}=\frac{3\sqrt y}{2y}$
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