Nth Root Calculator
Enter a number and the root degree (2 for square root, 3 for cube root, or any custom degree) to calculate the nth root instantly.
Result
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Enter a number and root degree to calculate.
How the Nth Root formula works
The nth root formula:
ⁿ√x = x^(1/n)
Step-by-step calculation
- Take the reciprocal of the root degree (1/n).
- Raise the number to that power.
Worked example
The cube root of 125 (n=3): 125^(1/3) = 5, since 5×5×5 = 125.
Frequently asked questions
Can you take an even root of a negative number?
Not within real numbers — an even root (square root, fourth root, etc.) of a negative number has no real solution, since no real number multiplied by itself an even number of times produces a negative result. Odd roots (cube root, fifth root, etc.) of negative numbers are well-defined and negative.
How is this different from the square root or simplify radical calculators?
The Square Root Calculator and Simplify Radical Calculator specifically handle roots of degree 2. This calculator generalizes to any root degree, including cube roots, fourth roots, and beyond.