Complex Number Calculator
Add, subtract, multiply, and divide complex numbers.
Amortization schedule
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Introduction
Complex Number Calculator — Add, subtract, multiply, and divide complex numbers. Enter Real 1, Imaginary 1, Operation, Real 2, Imaginary 2 to get an instant, accurate result.
Formula
For (a+bi) and (c+di): addition/subtraction combine real and imaginary parts separately; multiplication uses (ac−bd) + (ad+bc)i; division multiplies by the conjugate: ((ac+bd) + (bc−ad)i) / (c²+d²).
Step-by-step
- Enter the Real 1.
- Enter the Imaginary 1.
- Enter the Operation.
- Enter the Real 2.
- Enter the Imaginary 2.
- Click Calculate to see your result instantly.
Real-world example
Example: With Real 1 = 1, Imaginary 1 = 2, Operation = +, Real 2 = 3, Imaginary 2 = 4, the Complex Number Calculator gives Real: 4, Imaginary: 6.
Frequently Asked Questions
What happens if I divide by 0+0i?
Which operations are supported?
What inputs does the Complex Number Calculator need?
How accurate is the Complex Number Calculator?
Is the Complex Number Calculator free to use?
About the Complex Number Calculator
The Complex Number Calculator uses a real, verifiable formula — For (a+bi) and (c+di): addition/subtraction combine real and imaginary parts separately; multiplication uses (ac−bd) + (ad+bc)i; division multiplies by the conjugate: ((ac+bd) + (bc−ad)i) / (c²+d²). — so results are accurate every time, not an approximation.