Algebra & Equations
Complex Addition
Add two complex numbers.
Formula
Formula
(a+bi) + (c+di) = (a+c)+(b+d)i
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| a, b | first number real & imag | real number (ℝ) | real | input |
| c, d | second number real & imag | real number (ℝ) | real | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givena (real) = 3, b (imag) = 2, c (real) = 1, d (imag) = -4
Result4 + -2i
Example 2
Givena (real) = 0, b (imag) = 1, c (real) = 0, d (imag) = 1
Result0 + 2i