Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.5 Expressions Containing Several Radical Terms - 10.5 Exercise Set: 18

Answer

$41\sqrt{2}$

Work Step by Step

Simplifying each term and then combining like terms, the given expression, $ 9\sqrt{50}-4\sqrt{2} ,$ is equivalent to \begin{array}{l}\require{cancel} 9\sqrt{25\cdot2}-4\sqrt{2} \\\\= 9\sqrt{(5)^2\cdot2}-4\sqrt{2} \\\\= 9\cdot5\sqrt{2}-4\sqrt{2} \\\\= 45\sqrt{2}-4\sqrt{2} \\\\= 41\sqrt{2} .\end{array}
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