Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Section 1.1 - Algebraic Expressions, Real Numbers, and Interval Notation - Exercise Set: 128

Answer

Between $-6$ and $-5$.

Work Step by Step

Note that: $25 \lt 26 \lt 36$ For negative numbers, $-36 \lt -26 \lt -25$ Thus, $-\sqrt{36} \lt -\sqrt{26} \lt -\sqrt{25} \\-6 \lt -\sqrt{26} \lt -5$ Therefore $-\sqrt{26}$ is between $-6$ and $-5$.
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