🔢

Complex Number Calculator - Add, Multiply, Divide

Free complex number calculator. Add, subtract, multiply, and divide complex numbers. Calculate magnitude and polar form.

Perform complex number operations

Enter your values to see results

and click the "Calculate" button

Complex Number Calculator

Perform arithmetic with complex numbers (a + bi). Complex numbers extend real numbers and are essential in engineering and physics.

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

Add/subtract: combine real and imaginary parts. Multiply: FOIL method, i² = -1. Divide: multiply by conjugate.

What are complex numbers used for?

Electrical engineering (AC circuits), signal processing, quantum mechanics, control systems, fractals (Mandelbrot set).

What is i (imaginary unit)?

i = √(-1). i² = -1, i³ = -i, i⁴ = 1. Allows solving equations like x² + 1 = 0.

Quadratic Calculator

Find complex roots

100+ calculators for finance, health, math, and everyday life