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: 51

Answer

(a) not a real number (b) negative

Work Step by Step

(a) We know that $-\sqrt{-x}$ is not a real number because $-x$ is negative (since $x$ is positive) and we can't take the square root of a negative number ($\sqrt{x}$ is undefined for $x\lt0$). (b) We know that $-\sqrt{x}$ is negative because $\sqrt{x}$ is always positive, by definition.
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