Root Calculator
Find the square root, the cube root or any nth root of a positive number.
Results
Result
12
What this tool does
A root is the inverse of a power: the cube root of 27 is the number that gives 27 when multiplied by itself three times. Set the index to 2 for a square root, 3 for a cube root, or any other value for higher roots. Negative inputs are not accepted because even roots of negative numbers are not real.
Formula
r = ⁿ√x = x^(1/n)
Variables
| Symbol | Meaning | Unit |
|---|---|---|
x | Value | — |
n | Root index | — |
r | Result | — |
Worked example
- Value144
- Root index2
- Result12
Limitations
- The calculation runs at full precision and only the display is rounded. If you copy an intermediate value and retype it, small differences can appear.