Question

Find the product of (−5−7i) and its conjugate.

Answer 1

Given:

`-5-7i`

The conjugate of (-5 -7i) is (-5+7i)

Hence, the product is;

`\begin{gathered} (-5-7i)(-5+7i) \\ Expanding\text{ the bracket,} \\ =25-35i+35i+49 \\ =25+0+49 \\ =74 \end{gathered}`

Therefore, the product is 74.