By: Carl H. Durney and Neil E. Cotter

Complex Analysis

 

 

Basic math

 

 

Rationalization

 

 

Example 2
 
 
 

 

Ex:           Evaluate
Ans:        
Sol'n:      Multiply the numerator and denominator by the denominator's complex conjugate. This turns the denominator into a real number equal to the magnitude squared of the original denominator. Divide the numerator's real and imaginary parts by this new denominator.
                         =   
                                      =   
                                      =   
                                      =   
                                      =