Mathlean · Online math workspace

Integer square root calculator

Find the largest integer whose square does not exceed a nonnegative integer.

How to use this calculator

Replace 30; the result 5 satisfies 25 ≤ 30 < 36.

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

IntegerSqrt⁡(30)\operatorname{IntegerSqrt}\left(30\right)

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

What to know

This is a floor operation, not a rounded or approximate 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.

Browse all calculators and editors