Chapter 9 - Roots and Radicals - 9.3 - More on Simplifying Radicals - Problem Set 9.3 - Page 412: 10

-17/15

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 289 is 17, and the square root of 225 is 15, giving us an answer of 17/15. However, as we can see, there is a negative outside of the square root. This means that we multiply 17/15 by -1, giving us our final answer: -17/15.