Complex Number Calculator

Perform addition, subtraction, multiplication, and division on complex numbers with ease.

Calculate Complex Numbers

Enter two complex numbers and select an operation to get instant results.

Enter Complex Numbers
Operation
About Complex Numbers

A complex number is written as \( a + bi \), where \( a \) is the real part, \( b \) is the imaginary part, and \( i \) is the imaginary unit (where \( i^2 = -1 \)). This calculator supports four operations:

  • Addition: \( (a + bi) + (c + di) = (a + c) + (b + d)i \)
  • Subtraction: \( (a + bi) - (c + di) = (a - c) + (b - d)i \)
  • Multiplication: \( (a + bi)(c + di) = (ac - bd) + (ad + bc)i \)
  • Division: \( \frac{a + bi}{c + di} = \frac{ac + bd}{c^2 + d^2} + \frac{bc - ad}{c^2 + d^2}i \)