Final answer:
To calculate -√(36/169), simplify the expression and divide the square root of the numerator by the square root of the denominator to get the answer -6/13.
Step-by-step explanation:
To calculate -√(36/169), we need to simplify the expression first. The square root of a fraction is the square root of the numerator divided by the square root of the denominator.
So, -√(36/169) = -(√36)/(√169).
The square root of 36 is 6, and the square root of 169 is 13. Therefore, -(√36)/(√169) = -6/13.
Hence, the correct answer is option a) -6/13.
The question asks to calculate the negative square root of the fraction 36/169, which is written as -√(36/169). To find the square root of a fraction, we separately find the square roots of the numerator and the denominator. Thus, √36 equals 6 and √169 equals 13. So, the square root of 36/169 is √(36/169) = 6/13. However, since we want the negative square root, our answer is - (6/13), which corresponds to option a).