Complex Number Calculator

Add, subtract, multiply and divide complex numbers and get modulus, argument and polar form.

Results

z₁ + zβ‚‚β€”
z₁ βˆ’ zβ‚‚β€”
z₁ Γ— zβ‚‚β€”
z₁ Γ· zβ‚‚β€”
|z₁|β€”
arg z₁—
z₁ in polar formβ€”

How to use the Complex Number Calculator

  1. Enter or select: Re(z₁), Im(z₁), Re(zβ‚‚), Im(zβ‚‚).
  2. The results (z₁ + zβ‚‚, z₁ βˆ’ zβ‚‚, z₁ Γ— zβ‚‚, z₁ Γ· zβ‚‚, |z₁|, arg z₁, z₁ in polar form) are calculated instantly as you type.
  3. Use β€œCopy link” to share the calculation with the same input values.

Formula

  • (a+bi)(c+di) = (acβˆ’bd) + (ad+bc)i
  • |z| = √(aΒ²+bΒ²)