Nth Root Calculator

Discover the nth root of any number. Simply input the number and the root index to unveil the root value.

Number (x):

Root Index (n):

Result:

Understanding Nth Roots

In mathematics, an nth root of a number 'x' is a number 'r' which, when raised to the power of 'n', equals 'x'. In equation form, this is represented as:

$$ r^n = x $$

Here, 'n' is the root index (a positive integer), and 'x' is the number you're taking the root of (the radicand).

For example, if we want to find the square root of 9 (n=2, x=9), we are looking for a number 'r' such that r² = 9. In this case, r = 3 (or -3, but typically the principal root is positive). Similarly, the cube root of 8 (n=3, x=8) is 2, because 2³ = 8.

This calculator helps you find the nth root for any positive number and root index. Just enter the values and calculate!