Complex Numbers Calculator

Add, subtract, multiply, divide complex numbers, plus magnitude, phase, and conjugate.

Calculator Numbers & Math Updated Apr 20, 2026
How to Use
  1. Enter real and imaginary parts for two numbers.
  2. All operations + polar form update live.
z₁ = a + bi
Results

Formulas

Product
(a+bi)(c+di) = (ac−bd) + (ad+bc)i
Quotient
(a+bi)/(c+di) = [(ac+bd) + (bc−ad)i] / (c²+d²)
Polar
r = √(a²+b²) · θ = atan2(b, a)

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