← All tools

Complex magnitude |a+bi|

Distance from origin in the complex plane—Pythagorean combination of components.

Client
|z| = 5.000000

Nearby workflows on Toolcore

  • Polar ↔ rectangularConvert r∠θ° to a+bi or the reverse—degrees, local trig. when units or numeric output should be checked on a related calculator.
  • Pythagorean theoremCompute hypotenuse c from legs a and b (√(a²+b²))—right-triangle math in your browser. when units or numeric output should be checked on a related calculator.
  • Nth root calculatorCompute x^(1/n)—cube roots and higher real roots, including odd roots of negatives, locally. when units or numeric output should be checked on a related calculator.
  • JSON formatterJSON format online: pretty-print, minify, validate, escape, download . when units or numeric output should be checked on a related calculator.

Common use cases

  • Complex magnitude |a+bi| for quick local checks without uploading data.
  • Copy results into tickets, docs, or classroom notes.

Common mistakes to avoid

  • Unexpected input shape

    See the intro and how-to notes for accepted formats.

FAQ

Is processing local?

Yes—this runs entirely in your browser.

Agent prefill?

Open the page directly—multi-field inputs are not URL-prefilled.

Related utilities you can open in another tab—mostly client-side.