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: 90

Answer

$8-2\sqrt {10}+2\sqrt5-2\sqrt2$

Work Step by Step

$(\sqrt5 - \sqrt 2+1)^2$ $(\sqrt5 - \sqrt 2+1)*(\sqrt5 - \sqrt 2+1)$ $\sqrt5*\sqrt5+\sqrt5*(-\sqrt2)+\sqrt5*1+(-\sqrt2*\sqrt5)+(-\sqrt2*-\sqrt2)+(-\sqrt2*1)+1*\sqrt5+1*(-\sqrt2)+1*1)$ $\sqrt25-\sqrt {10}+\sqrt5-\sqrt {10}+\sqrt4-\sqrt2+\sqrt5-\sqrt2+1$ $5-\sqrt {10}+\sqrt5-\sqrt {10}+2-\sqrt2+\sqrt5-\sqrt2+1$ $8-\sqrt {10}+\sqrt5-\sqrt {10}-\sqrt2+\sqrt5-\sqrt2$ $8-2\sqrt {10}+\sqrt5-\sqrt2+\sqrt5-\sqrt2$ $8-2\sqrt {10}+2\sqrt5-2\sqrt2$
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