Algebra & Equations

Complex Modulus

Magnitude of a complex number.

Formula

Formula
a+bi = a2+b2

Variables

SymbolDefinitionType & rangeUnitsRole
a real part real number (ℝ) real input
b imaginary part real number (ℝ) imag input

Try it yourself

Interactive calculator
Result

Worked examples

Example 1
Givena (real) = 3, b (imag) = 4
Result5
Example 2
Givena (real) = 5, b (imag) = 12
Result13