Square Root Calculator
Calculate square root instantly in your browser.
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What this tool does
Calculate square root instantly in your browser. Principal (nonnegative) root only; integer inputs also get an exact simplified-radical form.
How to use the Square Root Calculator
- Enter or select number.
- Read the calculated result; change any measurement to compare alternatives.
Formula
√x is the nonnegative number whose square is x; perfect squares give whole-number roots and other values are simplified by factoring out the largest perfect square.
- x
- Number
Principal (nonnegative) root only; integer inputs also get an exact simplified-radical form.
Worked example
For square root calculator, the following measurements illustrate the exact method: Number: 144.
Inputs
- Number144
Result
- Square root12
- Simplified radical12
- Is it a perfect square?Yes
- Square of the root144
Results explained
- Square root
- Square root from the formula above. Principal (nonnegative) root only; integer inputs also get an exact simplified-radical form.
- Simplified radical
- Simplified radical from the formula above. Principal (nonnegative) root only; integer inputs also get an exact simplified-radical form.
- Is it a perfect square?
- Is it a perfect square? from the formula above. Principal (nonnegative) root only; integer inputs also get an exact simplified-radical form.
- Square of the root
- Square of the root from the formula above. Principal (nonnegative) root only; integer inputs also get an exact simplified-radical form.
Frequently asked questions
√x is the nonnegative number whose square is x; perfect squares give whole-number roots and other values are simplified by factoring out the largest perfect square.
Principal (nonnegative) root only; integer inputs also get an exact simplified-radical form.
Where mathematically meaningful, yes. Fields specify permitted ranges and undefined operations display an error.
Exact integer calculations use safe integers; decimal calculations use browser floating point, so small rounding differences can occur.
All values remain in your browser and are never uploaded.