Square Root Calculator
Calculate square roots, cube roots, and nth roots. Get decimal values, exact integer detection, simplified square-root form, and real-number validation.
Square root, cube root, and nth root modes
The dominant English intent is square root calculation, but competitor pages often include cube root, nth root, and simplified radical output. This tool keeps those modes together.
x is the radicand, n is the root degree, and y is the root.
- Use square root for the common principal root.
- Use cube root for positive or negative radicands.
- Use nth root when the root degree should be set manually.
Real-number limits
| Case | Real-number result |
|---|---|
| Square root of a positive number | Principal non-negative root |
| Square root of a negative number | Not real |
| Odd root of a negative number | Allowed, keeps the negative sign |
| Even root of a negative number | Not real |
Frequently Asked Questions
Sources and References
- nth RootWolfram MathWorld
- RadicalWolfram MathWorld
- Roots, exponents, & scientific notationKhan Academy
Calculations are based on the listed reference sources. Links open in a new tab.
Related Tools
Raise a base to a power, including negative exponents and exact fractional exponents such as 1/2 and 1/3. Includes scientific notation and reciprocal output.
Calculate n! for non-negative integers from 0 to 170. See the exact factorial value, digit count, and multiplication steps.
Calculate percent of a number, what percent one number is of another, reverse percentage, percentage change, and add or subtract a percentage.