Overview
What Is a Complex Number Calculator?
This tool performs arithmetic operations (addition, subtraction, multiplication) on complex numbers in the form a+bi.
Add, subtract, and multiply complex numbers.
First Number (a + bi)
Second Number (c + di)
This tool performs arithmetic operations (addition, subtraction, multiplication) on complex numbers in the form a+bi.
Useful for algebra and engineering coursework involving complex number arithmetic.
Input real and imaginary parts.
Input real and imaginary parts.
Choose add, subtract, or multiply.
The result updates automatically.
A number in the form a+bi, combining a real part (a) and an imaginary part (b), where i represents √-1.
Add the real parts together and the imaginary parts together separately: (a+bi)+(c+di) = (a+c)+(b+d)i.
Using FOIL expansion: (a+bi)(c+di) = (ac-bd)+(ad+bc)i, since i²=-1.
Electrical engineering (AC circuit analysis), signal processing, and various advanced physics applications use complex numbers.
No, calculations happen entirely in your browser.
The imaginary unit, defined as √-1.
Yes, that would just represent a standard real number.
This calculator handles addition, subtraction, and multiplication - division involves an additional conjugate step.
Yes, completely free with no sign-up required.
i² = -1, a fundamental property used throughout complex number arithmetic.