A complex number z is of the form x+iy (standard form) , where x and y are real numbers (called the real and imaginary parts of z). The manipulation with complex numbers follow the same rules as for real numbers , except that the symbol i satisfies . (i is square root of -1).
The simplification of the given expression:
Given the complex number z=x+iy (with x an d y both real), its complex conjugate z(bar) (see above) is defined to be the complex number x-iy.
z=x+iy (x,y real)
the complex conjugate
Therefore, its complex conjugate is