Ninth Root Calculator

How to Use the Ninth Root Calculator

1. Enter a number in the input field labeled "Number". This can be any real number (positive, negative, or zero).
2. Click the "Calculate" button to compute the ninth root of your number.
3. The result will be displayed below, showing the value that, when raised to the power of 9, equals your original number.
4. Click "Reset" to clear the input and start over with a new calculation.

Understanding the Ninth Root

The ninth root of a number x is a value y such that y⁹ = x. This is mathematically represented as:

y = x^1/9

For example:

• The ninth root of 19683 is 3, because 3⁹ = 19683
• The ninth root of 1 is 1, because 1⁹ = 1
• The ninth root of 0 is 0, because 0⁹ = 0
• The ninth root of -1 is -1, because (-1)⁹ = -1

Mathematical Principles

The ninth root is a type of root in mathematics. While square roots (1/2 power) and cube roots (1/3 power) are commonly used, the ninth root extends this concept to the 1/9 power.

For negative numbers, the ninth root is also defined, as raising a negative number to the 1/9 power results in another negative number.