# 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

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Multiplication: [ (a+bi) × (a+bi) ]

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

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

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**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