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Math · Calculator

Square Root Calculator

Calculate square roots with a decimal result and exact radical simplification for supported integers.

Square root

12

Exact radical

12

Simplification steps

sqrt(144) = 12

Exact radical simplification supports non-negative integer radicands. Negative numbers are outside this real-number V1.

Results are deterministic client-side calculations. Review assumptions and units before using a result in school, business, construction, or technical work.

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How to use this calculator

Calculate square roots with a decimal result and exact radical simplification for supported integers.

How the calculation works

  • Enter a non-negative number.
  • The calculator shows the decimal square root.
  • For integer values, it also shows a simplified radical form and short steps.

Formula

sqrt(x) is the value that multiplied by itself equals x. Reducible radicals factor out the largest square factor.

Example

sqrt(72) = sqrt(36 x 2) = 6sqrt(2).

Understanding your result

Use the output as a practical starting point, then review it before using it in an important workflow.

Assumptions and limitations

  • Complex-number roots are not included in V1.
  • Exact radical steps are intended for non-negative integers.

Frequently asked questions

Does this require an account?

No. The core tool works without creating a Tool2Do account.

Is my input included in share links or analytics?

No. Tool2Do share actions use the tool page URL and safe metadata, not private values or uploaded files.

Square Root Calculator with Steps | Tool2Do