Add, subtract, multiply, or divide two complex numbers. Enter both numbers and pick the operation.
Result
—
Complex result.Usage Tip
Multiply complex numbers by distributing (FOIL) and replacing i squared with −1.
THE MATH
(a + bi) and (c + di) combined by the chosen operation
i² = −1
i² = −1
Complex numbers extend the reals with i, the square root of −1.
They add and subtract component-wise; multiplication and division use i squared equals minus one.
They add and subtract component-wise; multiplication and division use i squared equals minus one.
Enter the real and imaginary parts of both numbers.
Division requires a non-zero second number.
The modulus of the result is shown.
Division requires a non-zero second number.
The modulus of the result is shown.