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: 17

Answer

$2$

Work Step by Step

Using the properties of radicals, the given expression, $ \dfrac{4\sqrt{3}}{\sqrt{12}} ,$ simplifies to \begin{array}{l}\require{cancel} 4\sqrt{\dfrac{3}{12}} \\\\= 4\sqrt{\dfrac{\cancel{3}}{\cancel{3}(4)}} \\\\= 4\sqrt{\dfrac{1}{4}} \\\\= 4\sqrt{\left(\dfrac{1}{2}\right)^2} \\\\= 4\left(\dfrac{1}{2}\right) \\\\= 2 .\end{array}
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