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 - Page 407: 59



Work Step by Step

Using the properties of radicals, the given expression, $ 4\sqrt{63}-7\sqrt{28} ,$ simplifies to \begin{array}{l}\require{cancel} 4\sqrt{9\cdot7}-7\sqrt{4\cdot7} \\\\= 4\sqrt{(3)^2\cdot7}-7\sqrt{(2)^2\cdot7} \\\\= 4\cdot3\sqrt{7}-7\cdot2\sqrt{7} \\\\= 12\sqrt{7}-14\sqrt{7} \\\\= -2\sqrt{7} .\end{array}
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