Nth Root Calculator | Find Any Root of a Number Easily

Nth Root Calculator

This calculator helps you find the 'nth' root of any number. Whether you need a square root, a cube root, or any higher root, just enter your values and get the answer instantly. It's a handy tool for algebra homework and understanding powers.

Number (x)

The base number you want to find the root of.

Root Degree (n)

The degree of the root (e.g., 2 for square root, 3 for cube root).

How it works

This calculator helps you find the 'nth' root of any number. Whether you need a square root, a cube root, or any higher root, just enter your values and get the answer instantly. It's a handy tool for algebra homework and understanding powers.

The Formula

The nth root of a number 'x' can be written as ⁿ√x or x^(1/n). This means finding a number that, when multiplied by itself 'n' times, equals 'x'.

Worked Example

Example: Find the Cube Root of 27
To find the cube root of 27, you would enter 27 as the 'Number' and 3 as the 'Root Degree'. The calculator will show you that the cube root of 27 is 3, because 3 × 3 × 3 = 27.

Tips, Assumptions & Limitations

For a square root, enter 2 as the Root Degree.
For a cube root, enter 3 as the Root Degree.
Even roots (like square roots) of negative numbers don't have real number solutions.
The 1st root of any number is just the number itself.

FAQ

The nth root of a number 'x' is another number that, when multiplied by itself 'n' times, gives 'x'. For example, the 4th root of 16 is 2, because 2 × 2 × 2 × 2 = 16.

For a square root, you set the 'Root Degree' to 2. For a cube root, set it to 3. Our calculator handles these and any higher degree roots for you automatically.

Yes, but with a condition. If the 'Root Degree' (n) is an odd number (like 3 or 5), you can find the root of a negative number. For example, the cube root of -8 is -2. However, if 'n' is an even number (like 2 or 4), the nth root of a negative number is not a real number.