Complex modulus |z|
Find the modulus (absolute value) of a complex number — its distance from the origin in the complex plane.
z =
Modulus formula
|z| = |a + bi| = √(a² + b²)
|3+4i| = √(9+16) = √25 = 5.
Geometric meaning
The modulus is the distance from z to the origin in the complex plane. It's always non-negative.
Popular quadratic equations
Related calculators