What is the complex conjugate for the number 7-3i?

1 Answer
Dec 20, 2014

the complex conjugate is: 7+3i
To find your complex conjugate you simply change sign of the imaginary part (the one with i in it).
So the general complex number: z=a+ib becomes barz=a-ib .

Graphically:
enter image source here
(Source: Wikipedia)

An interesting thing about complex conjugate pairs is that if you multiply them you get a pure real number (you lost the i), try multiplying:
(7-3i)*(7+3i)=

(Remembering that: i^2=-1)