Algebra: A Combined Approach (4th Edition)

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

Chapter 10 - Test: 19

Answer

$-20$

Work Step by Step

$(\sqrt 5+5)(\sqrt 5-5)$ =$\sqrt 5(\sqrt 5-5)+5(\sqrt 5-5)$ =$\sqrt 5\sqrt 5-5\sqrt 5+5\sqrt 5-25$ =$(\sqrt 5)^{2}-5\sqrt 5+5\sqrt 5-25$ =$(\sqrt 5)^{2}-25$ =$5-25$ =$-20$
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