different anon here.
square roots of imaginary numbers are exceedingly fucking stupid.
if you multiply -5 with a radix over it by -5 with a radix over it, they tell us that it equals -5.
but if you have an expression of -5 x -5 with one radix over both, SUDDENLY it's a positive number. the notation is fucking inconsistent and leads to confusion. not that you need imaginary numbers for literally anything