Raiz n-ésima

The nth root calculator allows you to calculate the root of any index of a real number. For example, square root (index 2), cube root (index 3), or fourth root (index 4). The result is obtained by raising the number to the inverse of the index, i.e., x^(1/n). This tool is useful for solving basic math, engineering, and finance problems.

How it works: enter the number (radicand) and the root index. The calculator uses the mathematical formula x^(1/n), where x is the radicand and n is the index. For example, to calculate the cube root of 8, enter 8 and index 3, obtaining 2, since 2^3 = 8. The calculation is precise and supports positive and negative numbers, but with restrictions for even indices with negative radicands.

When to use: in situations involving areas of geometric figures (side from area), growth rates (nth root of a ratio), or unit conversions. It is also common in compound interest problems, where the average rate per period is calculated. Use it whenever you need to extract a root with an index greater than 2.

Cautions: for even-index roots, the radicand must be positive, as there is no real root of a negative number with an even index. For odd indices, negative radicands yield negative results. The calculator handles these cases, but understanding the context is important. Avoid confusing with fractional exponents: the nth root is equivalent to raising to 1/n.