Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 1 - Foundations for Algebra - 1-6 Multiplying and Dividing Real Numbers - Practice and Problem-Solving Exercises: 26

Answer

-1/3

Work Step by Step

When taking a square root of a fraction, we take the square root of the numerator (top of the fraction) and denominator (bottom of the fraction) separately. The square root of 1 is 1, and the square root of 9 is 3, giving us an answer of 1/3. However, as we can see, there is a negative outside of the square root. This means that we multiply $\sqrt{ 1/9}$, 1/3, by -1, giving us our final answer: -1/3.
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