1 X -i Results Are Essential For Understanding Complex Numbers
1 Indeed what you are proving is that in the complex numbers you don't have (in general) $$\sqrt {xy}=\sqrt {x}\sqrt {y}$$ Because you find a counterexample. There are multiple ways of writing out a given complex number, or a number in general. Usually we reduce things to the "simplest" terms for display -- saying $0$ is a lot cleaner than saying $1-1$ for example. The complex numbers are a field. This means that every non-$0$ element has a multiplicative inverse, and that inverse is unique. While $1/i = i^ {-1}$ is true (pretty much by definition ...
Conjugate Complex Numbers In Mathematics. Argand Diagram Cartoon Vector ...
