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Home/Mathematics/Complex Numbers/Complex Modulus Calculator
Math CalculatorComplex Numbers

Complex Modulus Calculator

Calculate the modulus (absolute value or magnitude) of a complex number using the formula |z| = √(a² + b²). The modulus represents the distance from the origin in the complex plane.

Updated 2025-01-152 min readCalzyra Math Team
HomeMathcomplex numbersComplex Modulus Calculator

Complex Modulus Calculator

Calculate the modulus (absolute value or magnitude) of a complex number using the formula |z| = √(a² + b²). The modulus represents the distance from the origin in the complex plane.

Formula|z| = √(a² + b²)

Enter Values

+
i

About This Formula

The modulus of a complex number z = a + bi is the Euclidean distance from the origin to the point (a, b) in the complex plane, computed as the square root of the sum of the squares of its real and imaginary parts.

Formula & Methodology

How this calculator works

|z| = √(a² + b²)

The modulus of a complex number z = a + bi is the Euclidean distance from the origin to the point (a, b) in the complex plane, computed as the square root of the sum of the squares of its real and imaginary parts.

Frequently Asked Questions

Common questions about this calculator

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