Complex Number Calculator

Add, subtract, multiply, divide and raise complex numbers; polar form.

Runs in your browser — nothing is uploaded

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How to use Complex Number Calculator

  1. Enter your values — the unit for each field is shown next to it.
  2. The result updates instantly as you type.
  3. Copy the results, or change inputs to compare scenarios.

Formula & assumptions

(a + bi)(c + di) = (ac − bd) + (ad + bc)i

|z| = √(a² + b²), arg z = atan2(b, a)

zⁿ = |z|ⁿ (cos nθ + i sin nθ)