Complex Number – Is it purely Imaginary?
        
        
            a+bi is the expression of complex numbers, a in this combination and b represent real numbers and i represents imaginary unit, 
            complex numbers real part is zero, use this online calculator and get your complex number problems right.
       
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                        Complex Number Calculator
                
             
            
                
                    Multiplication: [ (a+bi) × (a+bi) ]
                
            
            
            
                
                    Division: [ (a+bi) / (a+bi) ]
                
            
        
                  
                
                   Square root: [ r1 = x+yi ; r2 = -x-yi ] 
                
            
        
            
            
            
            
            Formula:
            Multiplication = (a+bi) × (a+bi)
                
                Division = (a+bi) / (a+bi)
                
                Square root:
                   r = sqrt(a² + b²)
                   y = sqrt((r-a) / 2)
                   x = b / 2y
                   r1 = x + yi
                   r2 = -x - yi