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Square root calculator online

Calculate the square root of a non-negative number, including decimals. Enter the radicand and get the result with a formula and example.

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Set your data

Set your data

Calculate the non-negative principal square root of a number from 0 to 10¹². Example: √144 = 12. Results use 12 significant digits.

Result

Enter your data and run the tool. Your result will appear here.

The values you enter stay on this page. Reloading or closing it clears them.

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How to use the tool

  1. Fill in these fields: Radicand.
  2. Select “Calculate” to obtain the result.
  3. Calculate the non-negative principal square root of a number from 0 to 10¹².
  4. Example: √144 = 12.
  5. Results use 12 significant digits.
  6. Compare the input with nearby integer squares.

Method and principles

Formula

x = n

Example and interpretation

The square root of 81 is 9 because 9 × 9 = 81. This tool returns the non-negative principal root; the equation x²=81 has two solutions, 9 and −9. Inputs must be non-negative real numbers. A decimal approximation does not replace an exact radical form when you are working with algebraic expressions.

Practical example

Input
  • Radicand: 144
Result
144 = 12

Calculation steps

  1. Substitute the example values into the formula.

    x = 144

Limits and checks

Limits and checks
ParameterValue
Radicand≥ 0; ≤ 1000000000000

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