About the Complex Addition Calculator
Add two complex numbers (a + bi) + (c + di) by adding real and imaginary parts separately.
Also known as: add complex numbers, sum of complex numbers.
How to use this calculator
- Enter z₁, z₂.
- The result updates instantly as you type — press Calculate (or Enter) at any time.
- Review the breakdown shown under the main result.
- Use Copy result or Share to save the answer or send a link with your inputs.
Formula
(a + bi) + (c + di) = (a + c) + (b + d)i
Worked example
Using the values pre-filled in the calculator above:
- z₁: 3 + 4i
- z₂: 1 - 2i
the calculator returns:
- z₁ + z₂: 4 + 2i
- Polar form: 4.47213595 ∠ 26.565051°
- Modulus |z|: 4.47213595