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Calculators / Math / Nth root
Nth root calculator
Calculate a positive real nth root.
On this page
Nth root3
Calculator controls
How to calculate
Calculate a positive real nth root.
Nth root = value^(1/root)
Worked example
Value: 81; Root: 4.
Nth root: 3 .
Assumptions and limits
This tool returns the nonnegative real root for nonnegative inputs. Negative inputs and complex roots require a different method.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Calculate a positive real nth root. The displayed figures use the inputs and formula shown on this page.
When this tool is useful
Use the nth root to compare a scenario, check an estimate, or verify a manual calculation.
Understanding your inputs
| Input | What to enter |
|---|---|
| Value | Enter a number of at least 0 and no more than 1000000000000. |
| Root | Enter a number of at least 0.000001 and no more than 1000. |
Frequently asked questions
What should I check before using the nth root result?
This tool returns the nonnegative real root for nonnegative inputs. Negative inputs and complex roots require a different method.
Is this nth root result exact?
It is exact for the stated mathematical model and entered values. Real-world results can differ when rates, timing, fees, definitions or measurement conditions differ.