Elementary Algebra

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

Chapter 9 - Roots and Radicals - 9.1 - Roots and Radicals - Problem Set 9.1 - Page 401: 82



Work Step by Step

Using the properties of radicals, a rational approximation (to the nearest tenth) of the given expression, $ 8\sqrt{7}-2\sqrt{10}+4\sqrt{7}-3\sqrt{10}-7\sqrt{7}+4\sqrt{10} ,$ is \begin{array}{l}\require{cancel} (8\sqrt{7}+4\sqrt{7}-7\sqrt{7})+(-2\sqrt{10}-3\sqrt{10}+4\sqrt{10}) \\\\= 5\sqrt{7}-\sqrt{10} \\\\ \approx13.22876-3.1623 \\\\ \approx10.1 .\end{array}
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