🔢 Complex Number Calculator
Perform operations on complex and imaginary numbers
Enter Complex Numbers
= 3 + 4i
= 1 + 2i
Complex Numbers Guide
What is a Complex Number?
A complex number has the form a + bi, where:
- • a = real part
- • b = imaginary part
- • i = √(-1) (imaginary unit)
Operations
(a+bi) + (c+di) = (a+c) + (b+d)i
(a+bi) - (c+di) = (a-c) + (b-d)i
(a+bi)(c+di) = (ac-bd) + (ad+bc)i
Multiply by conjugate
Key Properties
- • i² = -1
- • i³ = -i
- • i⁴ = 1
- • |a + bi| = √(a² + b²)
Applications
- • Electrical engineering (AC circuits)
- • Signal processing
- • Quantum mechanics
- • Fractal geometry
- • Control systems
About Complex Number Calculator - Imaginary Numbers Free
Perform operations on complex and imaginary numbers. Add, subtract, multiply, divide complex numbers. Free complex number calculator.
Complex Number Calculator - Imaginary Numbers Free is a powerful online utility designed to help you process images quickly and securely. You can combine this with our Image Compressor for a complete workflow.
Our tools run entirely in your browser, ensuring your data remains private. No uploads, no waiting, just instant results. For more creative options, try the Collage Maker.
Perfect for quick edits, format changes, and optimizations without opening heavy desktop software. If you need to change dimensions, use the Image Resizer.
Key Features
Why Use This Tool?
How to Use
Upload your image
Apply desired changes
Download result