Fourth Roots Calculator
Calculate the fourth root of any number. Enter a value below and click “Calculate”. For complex or imaginary solutions, use our Simplify Radical Expressions Calculator.
Please enter a valid number.
Fourth root results:
Common Fourth Roots
| Number | Fourth Root |
|---|---|
| 1 | ±1 |
| 16 | ±2 |
| 81 | ±3 |
| 256 | ±4 |
| 625 | ±5 |
| 1296 | ±6 |
| 2401 | ±7 |
| 4096 | ±8 |
| 6561 | ±9 |
| 10000 | ±10 |
Fourth Roots of Negative Numbers
For negative numbers, fourth roots result in complex numbers. Using De Moivre’s Theorem for k = 0, 1, 2, 3:
√n(-1) = cos((2k+1)π/n) + sin((2k+1)π/n)i