Root Calculator
Calculate your Root result in seconds with the free Root Calculator. No registration needed.
Root
Result
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What is a Root Calculator?
A root calculator computes the nth root of any number. Whether you need a square root (n = 2), cube root (n = 3), or any higher root, this tool handles it with precision.
How to calculate the nth root manually (the formula)
The nth root of x is written as n√x and equals x1/n. For example, 4√81 = 811/4 = 3 because 34 = 81.
Example calculation
2√64 = 8 (square root). 3√64 = 4 (cube root). 6√64 = 2 because 26 = 64.
Common mistakes
- Setting n = 0 — The 0th root is undefined. Always use a positive integer for n.
- Forgetting about odd vs even roots of negatives — Odd roots of negatives are real; even roots are imaginary.
- Confusing root with exponent notation — n√x is the same as x1/n, not xn.
Frequently asked questions
What is an nth root?
A value that when multiplied by itself n times gives x.
How do you calculate the nth root?
n√x = x1/n.
What is the difference between a square root and an nth root?
Square root is n = 2; nth root generalizes to any n.
Can you take the nth root of a negative number?
Yes for odd n (real); for even n it is imaginary.
What is the 0th root?
Undefined (division by zero).
How do I use this calculator for square and cube roots?
Set n = 2 or n = 3.