This nth root calculator computes any root of any number. Enter the root index (n) and radicand, and the result updates in real time.
Root calculator
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What is an nth root?
The nth root of a number x is the value that, when raised to the power n, equals x. Written as ⁿ√x or x^(1/n).
For example: ⁵√32 = 2, because 2⁵ = 32.
Root rules for negative numbers
The calculator handles negative radicands according to mathematical convention:
- Odd roots of negative numbers work fine: ∛(-8) = -2
- Even roots of negative numbers are undefined in real numbers: √(-4) has no real solution
Common roots
While this calculator handles any root, the most common ones have their own names:
- n = 2: Square root (√)
- n = 3: Cube root (∛)
- n = 4: Fourth root (∜)
Higher roots like 5th, 6th, 7th, etc. don't have special symbols and are written as ⁿ√x.
