2 years ago
Last edited at 3:07PM on 7/22/2011
Technically you can find the root of a negative number but it is complex algebra and you obviously don't need to know that formula but I will include the link.
The answer normally for these questions would be none, no answer or maybe undefinable. (full disclosure I had to ask my mom who teaches high school math what she would require on her tests). So for your purposes, the answer is none or no answer.
The link to find the technically and mathematically "right" answer includes imaginary numbers etc.
From wiki: (although the actual equations didn't copy)
The square of any positive or negative number is positive, and the square of 0 is 0. Therefore, no negative number can have a real square root. However, it is possible to work with a more inclusive set of numbers, called the complex numbers, that does contain solutions to the square root of a negative number. This is done by introducing a new number, denoted by i (sometimes j, especially in the context of electricity where "i" traditionally represents electric current) and called the imaginary unit, which is defined such that i2 = ?1. Using this notation, we can think of i as the square root of ?1, but notice that we also have (?i)2 = i2 = ?1 and so ?i is also a square root of ?1. By convention, the principal square root of ?1 is i, or more generally, if x is any positive number, then the principal square root of ?x is
The right side (as well as its negative) is indeed a square root of ?x, since