Question

Find the product of (-5-4i) and its conjugate.product =

Answer 1

Given

The complex expression is given

-5-4i.

Explanation

To determine the conjugate of the complex number.

$a+bi=a-bi$

Then the conjugate of -5-4i is

$-5+4i$

The product is

$\begin{gathered} (-5-4i)(-5+4i)=25-20i+20i-16i^2 \\ 25-20i+20i-16i^2=25+16=41 \end{gathered}$Answer

Hence the conjugate is

$-5+4i$

The product is 41.