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 - Page 430: 22

Answer

$\approx 1.2$

Work Step by Step

Using $\sqrt{3}=1.73$ and the properties of radicals, the value of the given expression, $ \dfrac{2}{\sqrt{3}} ,$ to the nearest tenth, is \begin{array}{l}\require{cancel} \dfrac{2}{\sqrt{3}}\cdot\dfrac{\sqrt{3}}{\sqrt{3}} \\\\= \dfrac{2\sqrt{3}}{3} \\\\= \dfrac{2(1.73)}{3} \\\\ \approx 1.2 .\end{array}
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