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Key Features
Instant Calculation
Get accurate results in real time with our optimized algorithm.
Mobile Friendly
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100% Free
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Square roots get all the attention, but plenty of real problems call for a cube root, fifth root, or any other degree of root — and those aren't always easy to find without a calculator built for exactly that. This calculator finds the nth root of any number for any root degree, with a full step-by-step solution.
How it works
Enter a number and a root degree, n. The calculator raises the number to the power of 1/n, correctly handling negative numbers for odd-degree roots.
- Enter number.
- Enter root degree (n).
- Click Calculate to see your results.
Examples
The 5th root of 32
The 5th root of 32 is exactly 2, since 2⁵ = 32.
Who should use it
- Solving algebra problems that require a root beyond a simple square root.
- Checking cube root or higher-degree root calculations for homework or engineering work.
Industry applications
- Algebra and precalculus education
- Engineering and physics calculations
Advantages
- Works for any root degree, not just square or cube roots.
- Correctly handles negative numbers for odd-degree roots.
Limitations
- Even-degree roots of negative numbers are rejected rather than returning a complex result.
Common mistakes to avoid
- Trying to take an even-degree root of a negative number, which has no real result.
- Confusing "nth root" with "raising to the nth power" — they are inverse operations.
Best practices
- For roots of negative numbers, always check whether the root degree is odd (has a real result) or even (does not) before interpreting the answer.
Tips
- A quick way to sanity-check a result: raise it back to the power of n and confirm you get the original number.