Algebra: A Combined Approach (4th Edition)

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

Chapter 10 - Section 10.5 - Integrated Review - Radicals and Rational Exponents: 29

Answer

$2\sqrt {5}-5\sqrt {3}+5\sqrt 7$

Work Step by Step

$\sqrt {20}-\sqrt {75}+5\sqrt 7$ =$\sqrt {4\times5}-\sqrt {25\times3}+5\sqrt 7$ =$(\sqrt 4\times \sqrt 5)-(\sqrt {25}\times\sqrt 3)+5\sqrt 7$ =$2\sqrt {5}-5\sqrt {3}+5\sqrt 7$
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