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

Answer :

Solution:

Given:

[tex]-5-7i[/tex]

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

Hence, the product is;

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

Therefore, the product is 74.