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 - Mid-Chapter Review - Mixed Review - Page 663: 19



Work Step by Step

Using the properties of radicals, the expression, $ 2\sqrt{3}-5\sqrt{12} ,$ simplifies to \begin{array}{l}\require{cancel} 2\sqrt{3}-5\sqrt{4\cdot3} \\\\= 2\sqrt{3}-5\sqrt{(2)^2\cdot3} \\\\= 2\sqrt{3}-5\cdot2\sqrt{3} \\\\= 2\sqrt{3}-10\sqrt{3} \\\\= -8\sqrt{3} .\end{array}
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