Calculator and formula for conjugating complex numbers

Every complex number has a socalled complex conjugate number. These conjugate complex numbers are needed in the division, but also in other functions.
As an example we take the number \(5+3i\) . The complex number conjugated to \(5+3i\) is \(53i\). The real parts of the two numbers are the same, the imaginary parts of the two differ only by the sign.
Let's take a look at the product of the two numbers
\((5+3i)ยท(53i) = 2515i + 15i9i = 25+9 = 34\)
The product of the complex numbers and their conjugates is real. This is a special property of conjugate complex numbers that will prove useful.
For the conjugate complex number \(abi\) schreibt man \(\overline{z}=abi\).
So in the example above \(\overline{5+3i}=53i\)
