Algebra: A Combined Approach (4th Edition)

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

Chapter 13 - Cumulative Review - Page 970: 56

Answer

$\frac{\sqrt3-3}{6}$

Work Step by Step

We simplify as follows: $\frac{-2}{\sqrt3+3}$ $=\frac{-2(\sqrt3-3)}{(\sqrt3+3)(\sqrt3-3)}$ $=\frac{-2(\sqrt3-3)}{3-9}$ $=\frac{-2(\sqrt3-3)}{-6}$ $=\frac{\sqrt3-3}{6}$
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