Solution - Basic complex operations

Complex Division

Determine the conjugate of the denominator :
The conjugate of  ( 3 +  4i)  is  ( 3 -  4i) 

Multiply the numerator and denominator by the conjugate:
 ( 6 -  5i)•( 3 -  4i) = ( -  2 -  39i)
( 3 +  4i)•( 3 -  4i) = ( 25 +  0i) = 25 
Note:
(1) Multiplying both the numerator and the denominator by the same number does not change the value of the fraction.
(2) The new denominator is a real number as its imaginary part is zero.

 ( 6 -  5i)/( 3 +  4i) =
  0.0400 • ( -  2 -  39i)