Complex Number Calculator

Arithmetic (a+bi ○ c+di)

a (real part of z₁)

b (imaginary part of z₁)

Operation

c (real part of z₂)

d (imaginary part of z₂)

Rectangular ↔ Polar

Real part (a)

Imaginary part (b)

Formula

z = a + bi | |z| = √(a²+b²) | θ = atan2(b,a)

Frequently Asked Questions

What is a complex number?

A complex number has the form a + bi, where a is the real part, b is the imaginary part, and i = √(-1). Complex numbers can be added, subtracted, multiplied, and divided. They can also be expressed in polar form: r∠θ.

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