Complex Number Calculator

Perform addition, subtraction, multiplication, and division on complex numbers (a + bi).

Concept Overview

Complex numbers are written in the form a + bi, where a is the real part and bi is the imaginary part. The imaginary unit i is defined as √(-1), which means i² = -1.

Addition & Subtraction

Simply combine the "like terms". Add the real parts together, and add the imaginary parts together.
Ex: (2+3i) + (4+5i) = 6+8i

Multiplication (FOIL)

Multiply complex numbers using the FOIL method, but remember that iΒ² = -1.
Ex: (2i)(3i) = 6iΒ² = -6

The Conjugate

The conjugate of a + bi is a - bi. Multiplying a complex number by its conjugate always results in a real number.

Input Values

User Feedback & Ratings

0 / 5
Based on 0 ratings

Rate this calculator

β˜† β˜† β˜† β˜† β˜†

No feedback yet. Be the first to rate!