Mathlean · Online math workspace

Arithmetic-geometric mean calculator

Find the common limit of iterated arithmetic and geometric means.

How to use this calculator

Edit AGM(a,b). The starter uses positive real inputs 1 and 2.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

AGM⁡(1,2)\operatorname{AGM}\left(1,2\right)

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

This iterated mean differs from a single arithmetic or geometric mean; complex extensions require branch choices.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.

Browse all calculators and editors