Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.5 Solve Quadratic Equations by Finding Square Roots - 4.5 Exercises - Skill Practice - Page 270: 19


Answer: C

Work Step by Step

$\sqrt{108}\qquad$ ...rewrite 18 as a product of two factors so that one factor is a perfect square. ($108=36\cdot 3$) $=\sqrt{36\cdot 3}\qquad$ ...use the Product Property $\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}$ $=\sqrt{36}\cdot\sqrt{3}\qquad$ ...evaluate $\sqrt{36} $ ($\sqrt{36}=6$) $=6\sqrt{3}$
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