Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - 9.3 - More on Simplifying Radicals - Problem Set 9.3 - Page 412: 3

Answer

-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 81 is 9, and the square root of 9 is 3, giving us an answer of 9/3, which equals 3. However, as we can see, there is a negative outside of the square root. This means that we multiply 3 by -1, giving us our final answer: -3.
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