the square root of negative one comes out to be around .207879576...
I don't know how far you got in math, but .207879576^2 is definately not -1, or even anywhere close to it. The square root of a negative number is called an imaginary number, because it does not fall anywhere within the set of real numbers, which include all rational and irrational numbers, even pi. The square of any real number is always positive, so there is no real square root of a negative number.
In other news, I think it would be spiffy to see mirc support complex numbers.