## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 1 - Foundations for Algebra - 1-6 Multiplying and Dividing Real Numbers - Practice and Problem-Solving Exercises - Page 42: 25

-5/9

#### 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 25 is 5, and the square root of 81 is 9, giving us an answer of 5/9. However, as we can see, there is a negative outside of the square root. This means that we multiply $\sqrt {25/81}$, 5/9, by -1, giving us our final answer: -5/9.

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