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: 17

Answer

$9\sqrt{3}$

Work Step by Step

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