Respuesta :

You seem to be missing some information here.

Complex conjugate example:

2 - 16i >> 2 + 16i

Are you sure this is the entire question?

For this case we have a complex number of the form:

[tex]a + (b) (i)\\[/tex]

Where:

  • a: It's the real part
  • [tex](b) (i)[/tex]: It is the imaginary part

Thus, given 1-8i, its complex conjugate is given by:

[tex]1 + 8i\\[/tex]

On the other hand, the product of both is given by:

[tex](1 + 8i) (1-8i) =\\\\(1 ^ 2-8i + 8i-64 (i ^ 2)) =\\\\1-64 (-1) =\\\\1 + 64 = 65\\[/tex]

Answer:

Conjugate complex: [tex]1 + 8i\\[/tex]

Product: 65