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The principal nth root of x is the real number r such that r^n = x; this tool shows decimals and simplified √ form when possible.
Runs in your browser · No data stored · No signup
Calculate square roots, cube roots, and nth roots with decimal precision and simplified radical form for integers.
Square-root outputs are numerical approximations where needed; use domain-specific precision and rounding standards where required.
Calculate square roots, cube roots, and nth roots with decimal precision and simplified radical form for integers. This browser-based tool runs locally in your browser for quick, copy-friendly output—no signup required. Results update instantly as you change inputs.
Type the value you want the root of—positive for square roots, any real number for odd roots like cube root.
Choose square root (√), cube root (∛), or enter a custom nth root index for general root calculations.
The calculator shows the decimal approximation and, for integers, a simplified radical form when the result is not a whole number.
Confirm results by raising the root output to the nth power—it should equal your original input for exact roots.
Common real-world scenarios where this tool saves time.
Students
Check root calculations and perfect-square recognition.
Engineers
Use roots in distance, area, and signal formulas.
Data analysts
Confirm sqrt transforms during statistical preprocessing.
How Square Root Calculator compares to manual and integrated workflows.
| Method | Best for | Trade-off |
|---|---|---|
| Square Root Calculator | Fast browser workflow with instant, copy-ready results | Validate outputs in production when stakes are high |
| Manual editing or calculation | Single quick checks without opening a tool | Slower and easier to mistype at scale |
| IDE or desktop tooling | Deep integration in a dev environment | Heavier setup than a lightweight web tool |
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It is the non-negative root. For example, sqrt(25) is 5.
Yes. Decimal inputs are supported and returned as decimal outputs.
Real-number square roots of negative values are undefined.
Square the returned value to confirm it reconstructs the original input within rounding tolerance.
√2 ≈ 1.414213562—it is irrational and cannot be expressed as a simple fraction. It appears in the diagonal of a 1×1 square and in many geometry formulas.
Factor out perfect squares: √72 = √(36 × 2) = 6√2 ≈ 8.485. The calculator shows simplified radical form automatically when the input is a factorable integer.
∛(-27) = -3 because (-3)³ = -27. Odd roots of negative numbers are defined in the real number system—unlike even roots which are undefined for negatives.
Results use JavaScript floating-point arithmetic (IEEE 754 double precision), accurate to about 15 significant digits. For exact symbolic math, use simplified radical form when displayed.
No. Root calculations run entirely in your browser; numbers you enter are never uploaded to EverydayTools servers.
Square Root Calculator keeps typical inputs on your device for standard browser-based processing.
Square-root outputs are numerical approximations where needed; use domain-specific precision and rounding standards where required.
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Reviewed by EverydayTools Editorial Team on 2026-06-09.
For powers (bn), use the Exponent calculator.
Tip: odd degrees allow negative inputs.
Expression
√(144)
Result
12
Formula: √(x) = x^(1/2)
Perfect square detected
144 = 12²
Therefore: √144 = 12
Exact (simplified radical)
√144 = 12
Shareable link: https://everydaytools.pro/square-root-calculator?value=144°ree=2&decimals=8
All calculations run locally in your browser — no data stored.