Question

Name the complex conjugate. Then find the product. 1. -8i

Answer 1

You seem to be missing some information here.

Complex conjugate example:

2 - 16i >> 2 + 16i

Are you sure this is the entire question?

Answer 2

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

`a + (b) (i)\\`

Where:

• a: It's the real part

• 
  `(b) (i)`: It is the imaginary part

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

`1 + 8i\\`

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

`(1 + 8i) (1-8i) =\\\\(1 ^ 2-8i + 8i-64 (i ^ 2)) =\\\\1-64 (-1) =\\\\1 + 64 = 65\\`

Answer:

Conjugate complex:
`1 + 8i\\`

Product: 65