Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - 9.2 - Simplifying Radicals - Problem Set 9.2: 54

Answer

$29\sqrt{3}$

Work Step by Step

Using the properties of radicals, the given expression, $ 6\sqrt{48}+5\sqrt{3} ,$ simplifies to \begin{array}{l}\require{cancel} 6\sqrt{16\cdot3}+5\sqrt{3} \\\\= 6\sqrt{(4)^2\cdot3}+5\sqrt{3} \\\\= 6\cdot4\sqrt{3}+5\sqrt{3} \\\\= 24\sqrt{3}+5\sqrt{3} \\\\= 29\sqrt{3} .\end{array}
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