Question

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

Answer 1

Given

The complex expression is given

-5-4i.

Step-by-step 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.