Complex Number Calculator | Advanced Operations

Free online calculator for complex number operations with step-by-step solutions

Complex Number Operations

Complex Numbers Guide

Basic Operations

Understanding complex number operations:

  • Addition/Subtraction:

    Add/subtract real and imaginary parts separately

  • Multiplication:

    Use FOIL method and combine like terms

  • Division:

    Multiply by complex conjugate of denominator

Forms & Conversions

Different representations of complex numbers:

  • Rectangular Form:

    a + bi where i is the imaginary unit

  • Polar Form:

    r(cos θ + i sin θ) or re^(iθ)

  • Conversions:

    Use trigonometric functions to convert between forms