Complex Number Calculator
Perform operations on complex numbers.
This Complex Number Calculator allows you to calculate or convert values instantly. It is free, fast, and easy to use.
- Free Online Tool
- Instant Results
- Mobile Friendly
- No Installation
- Secure & Private
Understanding This Calculator
Complex Number Operations
Perform arithmetic on complex numbers in the form z = a + bi.
- Addition: (a+bi) + (c+di) = (a+c) + (b+d)i
- Multiplication: (a+bi)(c+di) = (ac-bd) + (ad+bc)i
- Magnitude: |z| = √(a² + b²)
Example 1
z₁ = 3 + 4i, z₂ = 1 + 2i
- z₁ + z₂ = (3+1) + (4+2)i = 4 + 6i
- |z₁| = √(3² + 4²) = √25 = 5
Example 2
z₁ = 1 + i, z₂ = 1 - i
- z₁ × z₂ = (1 - (-1)) + (-1 + 1)i = 2 + 0i
How to Use
- Enter real and imaginary parts of z₁.
- Enter real and imaginary parts of z₂.
Frequently Asked Questions
How do I use the Complex Number Calculator?
Enter your values in the input fields, and the result will appear instantly.
Is this calculator free to use?
Yes, this calculator is 100% free and does not require any registration or subscription.
Is it mobile-friendly?
Absolutely! Our tool is optimized for all devices, including mobile phones, tablets, and desktop computers.