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 - Exercise Set: 16

Answer

$\dfrac{-5\sqrt{2}}{\sqrt{11}}=\dfrac{-5\sqrt{22}}{11}$

Work Step by Step

$\dfrac{-5\sqrt{2}}{\sqrt{11}}$ Multiply the fraction by $\dfrac{\sqrt{11}}{\sqrt{11}}$ and simplify: $\dfrac{-5\sqrt{2}}{\sqrt{11}}=\dfrac{-5\sqrt{2}}{\sqrt{11}}\cdot\dfrac{\sqrt{11}}{\sqrt{11}}=\dfrac{-5\sqrt{22}}{\sqrt{11^{2}}}=\dfrac{-5\sqrt{22}}{11}$
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