**If two complex numbers which differ only in the sign of their imaginary parts are called conjugate complex numbers**, that is, each complex number being conjugate of the other. It is denoted by

*Example*

are conjugates.

If, then its conjugate is

Conjugate of complex numbers is defined as follows:

__Question 1:__

Find the conjugate of

** **

*Solution*

__Question 2:__

If, simplify?

** **

*Solution*

We Know that,

Substitute the values as follows: