Heh, there's some funny stuff there... though I feel the need to point out the flaw in the square-root proof...
√x √y = Â±√(xy)
√x / √y = Â±√(x/y)
That is, √x √y equals either √(xy) or −√(xy), (but not both if x,y≠0).
The Â± isn't necessary in the real numbers, since the square root is defined to be the positive root of the number... but such a definition can't be made with the complex numbers, as there is no such thing as "positive".
While no one overhear you quickly tell me not cow cow.
but how about watch phone?