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 - Page 660: 20



Work Step by Step

Simplifying each term and then combining like terms, the given expression, $ 5\sqrt{12}+16\sqrt{27} ,$ is equivalent to \begin{array}{l}\require{cancel} 5\sqrt{4\cdot3}+16\sqrt{9\cdot3} \\\\= 5\sqrt{(2)^2\cdot3}+16\sqrt{(3)^2\cdot3} \\\\= 5\cdot2\sqrt{3}+16\cdot3\sqrt{3} \\\\= 10\sqrt{3}+48\sqrt{3} \\\\= 58\sqrt{3} .\end{array}
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