The formula to calculate the Nth Root of Number (X1/n) is:
\[ X^{1/n} = X^{\frac{1}{n}} \]
Where:
Nth Root of Number is the number, which when multiplied by itself 'N' number of times or raised to the power of N, equals the given number.
Number X is a real number that can be used for the calculation of general formulas of numbers.
Value of N is the value of the natural number or sometimes, in general, a real number given or required in the problem.
Let's assume the following values:
Using the formula:
\[ X^{1/n} = X^{\frac{1}{n}} \]
Evaluating:
\[ 25^{1/4} \]
The Nth Root of Number is 2.23606797749979.
| Number X | Value of N | Nth Root |
|---|---|---|
| 20 | 2 | 4.472135954999580 |
| 20 | 3 | 2.714417616594906 |
| 20 | 4 | 2.114742526881128 |
| 20 | 5 | 1.820564203026080 |
| 22 | 2 | 4.690415759823430 |
| 22 | 3 | 2.802039330655387 |
| 22 | 4 | 2.165736770667994 |
| 22 | 5 | 1.855600736258084 |
| 24 | 2 | 4.898979485566356 |
| 24 | 3 | 2.884499140614817 |
| 24 | 4 | 2.213363839400643 |
| 24 | 5 | 1.888175022589804 |
| 26 | 2 | 5.099019513592784 |
| 26 | 3 | 2.962496068407370 |
| 26 | 4 | 2.258100864353226 |
| 26 | 5 | 1.918645191625306 |
| 28 | 2 | 5.291502622129181 |
| 28 | 3 | 3.036588971875662 |
| 28 | 4 | 2.300326633791206 |
| 28 | 5 | 1.947294361230336 |
| 30 | 2 | 5.477225575051661 |
| 30 | 3 | 3.107232505953859 |
| 30 | 4 | 2.340347319320716 |
| 30 | 5 | 1.974350485834820 |