Mathlean · Online math workspace

Modular root calculator

Find supported roots of a congruence using modular powers.

How to use this calculator

Edit PowerModList(4,1/2,7); this asks for square roots of 4 modulo 7.

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

PowerModList⁡(4,12,7)\operatorname{PowerModList}\left(4,\frac{1}{2},7\right)

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

What to know

A congruence can have several roots or none. This is not a principal real square root.

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

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