Complex Numbers Calculator — a+bi Arithmetic

Perform arithmetic on two complex numbers of the form a+bi and c+di.

Examples

What is i?

The imaginary unit, where i = √(−1), so i² = −1.

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Easily add, subtract, multiply, and divide fractions. Get the simplified fractional resul…

Simplify any ratio A:B to its lowest terms.

Solve for the missing value in a proportion A:B = C:D.