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: 81

Answer

$\approx2.1$

Work Step by Step

Using the properties of radicals, a rational approximation (to the nearest tenth) of the given expression, $ 9\sqrt{6}-3\sqrt{5}+2\sqrt{6}-7\sqrt{5}-\sqrt{6} ,$ is \begin{array}{l}\require{cancel} (9\sqrt{6}+2\sqrt{6}-\sqrt{6})+(-3\sqrt{5}-7\sqrt{5}) \\\\= 10\sqrt{6}-10\sqrt{5} \\\\ \approx24.5-22.4 \\\\ \approx2.1 .\end{array}
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