How to Use the Nth Root Calculator
The Nth Root Calculator computes a precise nth root from a base value (x) and a root index (n). An nth root is the number that, when multiplied by itself n times, produces the original value x, written as x^(1/n). This covers square roots (n=2), cube roots (n=3), and any other index, and is useful for solving equations, engineering calculations, and statistics work involving standard deviation.
Enter the base and root index, and the nth root value updates instantly, along with a check value showing the result raised back to the nth power so you can confirm accuracy right away. The root index can be a decimal as well as a whole number, and since even roots of negative numbers don't exist in real numbers, the base must be entered as 0 or greater.
Frequently Asked Questions
The nth root of x is the value that, multiplied by itself n times, equals x — written as x^(1/n). For example, the cube root (n=3) of 8 is 2, since 2×2×2=8.
Yes, n can be a decimal as well as an integer, as long as it is greater than 0.
Even-numbered roots of negative numbers don’t exist in the real numbers, so this calculator restricts the base to 0 or greater. For odd roots of negative numbers, you can apply the negative sign to the result yourself.