Algebra: A Combined Approach (4th Edition)

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

Chapter 10 - Section 10.4 - Adding, Subtracting, and Multiplying Radical Expressions - Exercise Set - Page 711: 89

Answer

$6+2\sqrt6-2\sqrt2 -2\sqrt3$

Work Step by Step

$(\sqrt2 +\sqrt3 -1)^2$ $(\sqrt2 +\sqrt3 -1)*(\sqrt2 +\sqrt3 -1)$ $\sqrt2*\sqrt 2+\sqrt2*\sqrt 3+\sqrt2 *(-1)+\sqrt3*\sqrt 2+\sqrt3*\sqrt 3+\sqrt3 *(-1)+(-1)*\sqrt 2+(-1)*\sqrt 3+(-1) *(-1)$ $\sqrt4+\sqrt6-\sqrt2 +\sqrt6+\sqrt9-\sqrt3-\sqrt 2-\sqrt 3+1$ $2+\sqrt6-\sqrt2 +\sqrt6+3-\sqrt3-\sqrt 2-\sqrt 3+1$ $2+2\sqrt6-\sqrt2 +3-2\sqrt3-\sqrt 2+1$ $2+2\sqrt6-2\sqrt2 +3-2\sqrt3+1$ $6+2\sqrt6-2\sqrt2 -2\sqrt3$
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