Built and fact-checked by the DocNectar team — see our editorial standards
Key Features
Instant Calculation
Get accurate results in real time with our optimized algorithm.
Mobile Friendly
Fully responsive design. Works on all devices & screen sizes.
Privacy Focused
Your data stays on your device. We don't store any inputs.
100% Free
No hidden costs. This tool is completely free forever.
A root is the inverse of raising a number to a power — the square root undoes squaring, the cube root undoes cubing, and so on for any degree.
This calculator finds the square root, cube root, or any nth root of a number and shows the full working.
How it works
Enter a number and the root degree (2 for square root, 3 for cube root, or any higher degree). The calculator raises the number to the power of 1/n to find the root, and flags cases where an even-degree root of a negative number has no real result.
- Enter number.
- Enter root degree (2 = square root, 3 = cube root).
- Click Calculate to see your results.
Examples
Finding a square root
The square root of 144 is 12, since 12 × 12 = 144.
Finding a cube root
The cube root of 27 is 3, since 3 × 3 × 3 = 27.
Who should use it
- Checking a geometry or algebra homework answer.
- Finding a side length from an area or volume in a construction or design calculation.
Industry applications
- Mathematics and engineering education
- Geometry, physics, and construction calculations
Advantages
- Supports any root degree, not just square and cube roots.
- Clearly flags when a root has no real result.
Limitations
- Only returns real number results — does not compute results in the complex number system.
Common mistakes to avoid
- Assuming every number has a real square root — negative numbers do not.
- Confusing the root degree with the number itself when entering values.
Best practices
- Double-check whether you need the positive root only, or both the positive and negative square roots, depending on your context (like solving an equation).
Tips
- To check any root by hand, raise your answer back to the root degree — it should return the original number.