Complex Numbers Calculator

First Number (z₁)

Second Number (z₂)

Choose Operation

💡 Complex Numbers Guide

Complex Number:
z = a + bi where a is real part, b is imaginary part

Examples:
• 3 + 4i
• -2 + 5i
• 7 - 3i
• 0 + 2i (pure imaginary)

🔧 Addition (z₁ + z₂) Guide

Addition Formula:
(a + bi) + (c + di) = (a + c) + (b + d)i

How it works:
• Add real parts together
• Add imaginary parts together
• Combine the results

Example:
(3 + 2i) + (1 + 4i) = 4 + 6i