Nth Root Calculator

Understanding Nth Roots

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

$$ x = \sqrt[n]{a} $$

Here, 'n' is the root index (a positive integer greater than 1), and 'a' is the base number or radicand. For example, if we want to find the square root of 9 (n=2, a=9), we are looking for a number which, when squared, equals 9. In this case, the square root of 9 is 3 because 3² = 9. Similarly, the cube root of 8 (n=3, a=8) is 2 because 2³ = 8.

This calculator helps you find the nth root for any given base number and root index, simplifying complex calculations and making it easy to understand roots in various mathematical contexts. Use it for algebra, geometry, or any situation where you need to calculate roots quickly and accurately.

Learn more about roots on Wikipedia or explore other mathematical concepts on platforms like Khan Academy.