Complex Magnitude from Real and Imaginary Parts Reference Values

Calculate the magnitude of a complex number from its real and imaginary components.

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Math editorial contributor

Argentine astrophysicist from the University of Buenos Aires, contributing to exoplanet detection with the James Webb telescope

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Dr. Isabella Rossi

Math content reviewer

Italian neuroscientist at Sapienza University of Rome, studying the neural mechanisms of bilingual language processing

Last updatedFebruary 22, 2026

PublishedFebruary 22, 2026

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Reference Value Index

This page lists 81 reference values for quick browsing and lookup.

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Reference Table

Complex Magnitude from Real and Imaginary Parts reference values
Scenario	Magnitude
-10 Real Part Real Part; -10 Imaginary Part Imaginary Part	14.142136 Magnitude
-10 Real Part Real Part; -5 Imaginary Part Imaginary Part	11.18034 Magnitude
-10 Real Part Real Part; -2 Imaginary Part Imaginary Part	10.198039 Magnitude
-10 Real Part Real Part; -1 Imaginary Part Imaginary Part	10.049876 Magnitude
-10 Real Part Real Part; 0 Imaginary Part Imaginary Part	10 Magnitude
-10 Real Part Real Part; 1 Imaginary Part Imaginary Part	10.049876 Magnitude
-10 Real Part Real Part; 2 Imaginary Part Imaginary Part	10.198039 Magnitude
-10 Real Part Real Part; 5 Imaginary Part Imaginary Part	11.18034 Magnitude
-10 Real Part Real Part; 10 Imaginary Part Imaginary Part	14.142136 Magnitude
-5 Real Part Real Part; -10 Imaginary Part Imaginary Part	11.18034 Magnitude
-5 Real Part Real Part; -5 Imaginary Part Imaginary Part	7.071068 Magnitude
-5 Real Part Real Part; -2 Imaginary Part Imaginary Part	5.385165 Magnitude
-5 Real Part Real Part; -1 Imaginary Part Imaginary Part	5.09902 Magnitude
-5 Real Part Real Part; 0 Imaginary Part Imaginary Part	5 Magnitude
-5 Real Part Real Part; 1 Imaginary Part Imaginary Part	5.09902 Magnitude
-5 Real Part Real Part; 2 Imaginary Part Imaginary Part	5.385165 Magnitude
-5 Real Part Real Part; 5 Imaginary Part Imaginary Part	7.071068 Magnitude
-5 Real Part Real Part; 10 Imaginary Part Imaginary Part	11.18034 Magnitude
-2 Real Part Real Part; -10 Imaginary Part Imaginary Part	10.198039 Magnitude
-2 Real Part Real Part; -5 Imaginary Part Imaginary Part	5.385165 Magnitude
-2 Real Part Real Part; -2 Imaginary Part Imaginary Part	2.828427 Magnitude
-2 Real Part Real Part; -1 Imaginary Part Imaginary Part	2.236068 Magnitude
-2 Real Part Real Part; 0 Imaginary Part Imaginary Part	2 Magnitude
-2 Real Part Real Part; 1 Imaginary Part Imaginary Part	2.236068 Magnitude
-2 Real Part Real Part; 2 Imaginary Part Imaginary Part	2.828427 Magnitude
-2 Real Part Real Part; 5 Imaginary Part Imaginary Part	5.385165 Magnitude
-2 Real Part Real Part; 10 Imaginary Part Imaginary Part	10.198039 Magnitude
-1 Real Part Real Part; -10 Imaginary Part Imaginary Part	10.049876 Magnitude
-1 Real Part Real Part; -5 Imaginary Part Imaginary Part	5.09902 Magnitude
-1 Real Part Real Part; -2 Imaginary Part Imaginary Part	2.236068 Magnitude
-1 Real Part Real Part; -1 Imaginary Part Imaginary Part	1.414214 Magnitude
-1 Real Part Real Part; 0 Imaginary Part Imaginary Part	1 Magnitude
-1 Real Part Real Part; 1 Imaginary Part Imaginary Part	1.414214 Magnitude
-1 Real Part Real Part; 2 Imaginary Part Imaginary Part	2.236068 Magnitude
-1 Real Part Real Part; 5 Imaginary Part Imaginary Part	5.09902 Magnitude
-1 Real Part Real Part; 10 Imaginary Part Imaginary Part	10.049876 Magnitude
0 Real Part Real Part; -10 Imaginary Part Imaginary Part	10 Magnitude
0 Real Part Real Part; -5 Imaginary Part Imaginary Part	5 Magnitude
0 Real Part Real Part; -2 Imaginary Part Imaginary Part	2 Magnitude
0 Real Part Real Part; -1 Imaginary Part Imaginary Part	1 Magnitude
0 Real Part Real Part; 0 Imaginary Part Imaginary Part	0 Magnitude
0 Real Part Real Part; 1 Imaginary Part Imaginary Part	1 Magnitude
0 Real Part Real Part; 2 Imaginary Part Imaginary Part	2 Magnitude
0 Real Part Real Part; 5 Imaginary Part Imaginary Part	5 Magnitude
0 Real Part Real Part; 10 Imaginary Part Imaginary Part	10 Magnitude
1 Real Part Real Part; -10 Imaginary Part Imaginary Part	10.049876 Magnitude
1 Real Part Real Part; -5 Imaginary Part Imaginary Part	5.09902 Magnitude
1 Real Part Real Part; -2 Imaginary Part Imaginary Part	2.236068 Magnitude
1 Real Part Real Part; -1 Imaginary Part Imaginary Part	1.414214 Magnitude
1 Real Part Real Part; 0 Imaginary Part Imaginary Part	1 Magnitude
1 Real Part Real Part; 1 Imaginary Part Imaginary Part	1.414214 Magnitude
1 Real Part Real Part; 2 Imaginary Part Imaginary Part	2.236068 Magnitude
1 Real Part Real Part; 5 Imaginary Part Imaginary Part	5.09902 Magnitude
1 Real Part Real Part; 10 Imaginary Part Imaginary Part	10.049876 Magnitude
2 Real Part Real Part; -10 Imaginary Part Imaginary Part	10.198039 Magnitude
2 Real Part Real Part; -5 Imaginary Part Imaginary Part	5.385165 Magnitude
2 Real Part Real Part; -2 Imaginary Part Imaginary Part	2.828427 Magnitude
2 Real Part Real Part; -1 Imaginary Part Imaginary Part	2.236068 Magnitude
2 Real Part Real Part; 0 Imaginary Part Imaginary Part	2 Magnitude
2 Real Part Real Part; 1 Imaginary Part Imaginary Part	2.236068 Magnitude
2 Real Part Real Part; 2 Imaginary Part Imaginary Part	2.828427 Magnitude
2 Real Part Real Part; 5 Imaginary Part Imaginary Part	5.385165 Magnitude
2 Real Part Real Part; 10 Imaginary Part Imaginary Part	10.198039 Magnitude
5 Real Part Real Part; -10 Imaginary Part Imaginary Part	11.18034 Magnitude
5 Real Part Real Part; -5 Imaginary Part Imaginary Part	7.071068 Magnitude
5 Real Part Real Part; -2 Imaginary Part Imaginary Part	5.385165 Magnitude
5 Real Part Real Part; -1 Imaginary Part Imaginary Part	5.09902 Magnitude
5 Real Part Real Part; 0 Imaginary Part Imaginary Part	5 Magnitude
5 Real Part Real Part; 1 Imaginary Part Imaginary Part	5.09902 Magnitude
5 Real Part Real Part; 2 Imaginary Part Imaginary Part	5.385165 Magnitude
5 Real Part Real Part; 5 Imaginary Part Imaginary Part	7.071068 Magnitude
5 Real Part Real Part; 10 Imaginary Part Imaginary Part	11.18034 Magnitude
10 Real Part Real Part; -10 Imaginary Part Imaginary Part	14.142136 Magnitude
10 Real Part Real Part; -5 Imaginary Part Imaginary Part	11.18034 Magnitude
10 Real Part Real Part; -2 Imaginary Part Imaginary Part	10.198039 Magnitude
10 Real Part Real Part; -1 Imaginary Part Imaginary Part	10.049876 Magnitude
10 Real Part Real Part; 0 Imaginary Part Imaginary Part	10 Magnitude
10 Real Part Real Part; 1 Imaginary Part Imaginary Part	10.049876 Magnitude
10 Real Part Real Part; 2 Imaginary Part Imaginary Part	10.198039 Magnitude
10 Real Part Real Part; 5 Imaginary Part Imaginary Part	11.18034 Magnitude
10 Real Part Real Part; 10 Imaginary Part Imaginary Part	14.142136 Magnitude

Frequently Asked Questions

Frequently asked questions for Complex Magnitude from Real and Imaginary Parts and its reference values.

What does the Complex Magnitude from Real and Imaginary Parts calculator do?

It helps with converting rectangular complex coordinates into magnitude form.

What formula does the Complex Magnitude from Real and Imaginary Parts calculator use?

Complex magnitude |z| = √(a² + b²).

What inputs are valid?

Any finite real and imaginary values are valid.

When would I use this?

converting rectangular complex coordinates into magnitude form

Methodology and Review

Each row on this page links to a value detail page derived from the same conversion data file as the main calculator and reference table. This reduces inconsistencies across page variants.

Editorial metadata and structured data are rendered across the converter page and linked value pages. Review policies are documented in our review process and editorial policy.