Constant of integration (Was Re: sqrt(x)*sqrt(x))

I did not say this right.  Let me try again.
"there are two definitions of sqrt. The one that you are using is that
'sqrt(x) is the positive real number y such that y^2 = x'".

Well not exactly.  I was using this definition.

When x >= 0 the sqrt(x) = some positive real number y such that y^2 = x
When x<0 then the sqrt(x) is an imaginary number (y * %i) such that (y*%i)^2 
= x where y is a real number and y > 0.

It is a special case.  If it causes problems then it is something I have not
seen yet.  I don't see anything wrong with this special case definition.
I think I do know what the real problem is, I am just a total klutz.

I don't know what I am talking about.  I don't even know why this definition 
is wrong.

I should go do homework or something else.

Sorry,

Rich