Algebra: A Combined Approach (4th Edition)

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

Chapter 10 - Review - Page 747: 93


$17\sqrt 2-15\sqrt 5$

Work Step by Step

$2\sqrt {50}-3\sqrt {125}+\sqrt {98}$ =$2\sqrt {2\times25}-3\sqrt {25\times5}+\sqrt {2\times49}$ =$2(\sqrt 2\times\sqrt {25})-3(\sqrt {25}\times\sqrt 5)+(\sqrt 2\times\sqrt {49})$ =$2(\sqrt 2\times5)-3(5\times\sqrt 5)+(\sqrt 2\times7)$ =$10\sqrt 2-15\sqrt 5+7\sqrt 2$ =$(10+7)\sqrt 2-15\sqrt 5$ =$17\sqrt 2-15\sqrt 5$
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