Solution - Basic complex operations

Complex Division

Determine the conjugate of the denominator :
The conjugate of  ( 8 +  2i)  is  ( 8 -  2i) 

Multiply the numerator and denominator by the conjugate:
 ( 5 -  8i)•( 8 -  2i) = ( 24 -  74i)
( 8 +  2i)•( 8 -  2i) = ( 68 +  0i) = 68 
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.

 ( 5 -  8i)/( 8 +  2i) =
  0.0147 • ( 24 -  74i)