What you provide
What you provide
- Real component, using the same scenario as the other inputs
- Imaginary component, using the same scenario as the other inputs
MATH / COMPLEX NUMBERS
Complex Number Modulus Calculator
Calculate the magnitude of a complex number from its real and imaginary components. Review the equation, substituted values, result context, and modelling limits in one guided workspace.
- 01 Calculated in this tab
- 02 Values stay in this browser tab
- 03 Use boundary
Use boundary
Calculation path
Calculate the magnitude of a complex number from its real and imaginary components. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.
Calculation path
|a+bi| = sqrt(a^2+b^2)
What you receive
What you receive
- Complex modulus from the stated equation
- A symbolic formula plus substituted working with your values
- Visible assumptions, field guidance, and an authoritative learning reference
Use boundary
Choose the maximum decimal places shown. This does not increase source accuracy.
Real and imaginary components use the same numeric scale.
Use internally consistent units and retain extra precision when carrying the result into another calculation.
Reviewed reference factors