Elementary Algebra

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

Chapter 9 - Roots and Radicals - Chapter 9 Review Problem Set: 51

Answer

$18\sqrt{2}$

Work Step by Step

Using the properties of radicals, the given expression, $ 2\sqrt{50}+3\sqrt{72}-5\sqrt{8} ,$ simplifies to \begin{array}{l}\require{cancel} 2\sqrt{25\cdot2}+3\sqrt{36\cdot2}-5\sqrt{4\cdot2} \\\\= 2\sqrt{(5)^2\cdot2}+3\sqrt{(6)^2\cdot2}-5\sqrt{(2)^2\cdot2} \\\\= 2(5)\sqrt{2}+3(6)\sqrt{2}-5(2)\sqrt{2} \\\\= 10\sqrt{2}+18\sqrt{2}-10\sqrt{2} \\\\= 18\sqrt{2} .\end{array}
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