Question

Why do we use complex conjugates?

Answer 1

wait... if u mean what i think and im not just being dumb then they are helpful with limits many times
help u not get 0/0 if u dnt know l'Hospitals

Answer 2

plus its usally just easier

Answer 3

To make denominators that have an imaginary part just real. It's just like how we don't like having square roots in the denominator. It works out well:
\[(a+bi)(a-bi)=a^2-b^2i^2=a^2-b^2(-1)=a^2+b^2\]

Answer 4

o wait, that too
gah!! forgetting al-jabr 2 isnt any good....