Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter R - Section R.3 - Exponents, Roots, and Order of Operations - R.3 Exercises: 73

Answer

$-2$

Work Step by Step

Using order of operations and the properties of radicals, the given expression, $ \dfrac{(-5+\sqrt{4})(-2^2)}{-5-1} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{(-5+2)(-4)}{-6} \\\\= \dfrac{(-3)(\cancel{-4}^2)}{\cancel{-6}^3} \\\\= \dfrac{-6}{3} \\\\= -2 .\end{array}
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