Nth Root Calculator
An nth root asks which real number, raised to the selected integer degree, gives the input value.
How to use this calculator
- Enter the number and an integer root degree from 2 to 99. The tool returns a real root only when one exists.
- Check the labels and units before using a result outside this page.
- Change one input at a time if you want to compare scenarios.
Formula and method
x = yᵏ, so y = ᵏ√x
- x = yᵏ, so y = ᵏ√x
- A negative real number has no real even root; odd integer roots can be negative.
Worked examples
Worked example
Find the fourth root of 81.
3⁴ = 81, so the real fourth root is 3.
3⁴ = 81, so the real fourth root is 3.
Understanding the result
An nth root asks which real number, raised to the selected integer degree, gives the input value.
A negative real number has no real even root; odd integer roots can be negative.
Important notes
A negative real number has no real even root; odd integer roots can be negative.
Displayed outputs are rounded for readability; preserve full precision when continuing a calculation.
Frequently asked questions
What does this nth root calculator show?
An nth root asks which real number, raised to the selected integer degree, gives the input value.
Which inputs should I check first?
Enter the number and an integer root degree from 2 to 99. The tool returns a real root only when one exists.
Can the result be used as a final professional specification?
A negative real number has no real even root; odd integer roots can be negative.
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Related explanations
Learn the method behind the number or compare the terminology before using the calculator.
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This page provides a calculation tool plus explanatory information so you can understand what the result means and when the underlying method may not fit your situation.