About the Complex Magnitude Calculator
Find the modulus (absolute value) |z| of a complex number — its distance from the origin.
Also known as: modulus of complex number, absolute value of complex number, |z| calculator.
How to use this calculator
- Enter z.
- The result updates instantly as you type — press Calculate (or Enter) at any time.
- Open “Step-by-step” to see how the answer was worked out.
- Use Copy result or Share to save the answer or send a link with your inputs.
Formula
|a + bi| = √(a² + b²)
Worked example
Using the values pre-filled in the calculator above:
- z: 6 - 8i
the calculator returns:
- |z|: 10
Working
√(6² + -8²) = 10