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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) ]

  • a

    bi:

  • a

    bi:

  • Multiplication :

Division: [ (a+bi) / (a+bi) ]

  • a

    bi:

  • a

    bi:

  • Division :

Square root: [ r1 = x+yi ; r2 = -x-yi ]

  • a

    bi:

  • r1 :

  • r2 :

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