Complex Number Calculator

Add, subtract, multiply complex numbers and convert to polar form.

Modify the values and click the Calculate button to use this tool.

Complex Arithmetic

Two complex numbers z₁ and z₂.

Modify the values and click the Calculate button to use this tool.

Complex Conjugate

Find the conjugate of a complex number.

Formula

|a+bi| = √(a²+b²)

How to use

  1. Enter real and imaginary parts.
  2. Select operation or use conjugate/modulus tools.

Formulas explained

Complex multiplication: (a+bi)(c+di) = (ac−bd) + (ad+bc)i

FAQ

a+bi has conjugate a−bi; product gives a real number a²+b².

Related

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