Chapter 9 - Roots and Radicals - 9.1 - Roots and Radicals - Problem Set 9.1 - Page 401: 83

$\approx-29.8$

Using the properties of radicals, a rational approximation (to the nearest tenth) of the given expression, $ 4\sqrt{11}-5\sqrt{11}-7\sqrt{11}+2\sqrt{11}-3\sqrt{11} ,$ is \begin{array}{l}\require{cancel} (4-5-7+2-3)\sqrt{11} \\\\= -9\sqrt{11} \\\\ \approx-29.8 .\end{array}