{
  "aliases": [
    "3-root",
    "eighth-root",
    "eleventh-root",
    "fifth-root",
    "fourth-root",
    "n-th-root",
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  "body": "\n## Summary\n\nIn mathematics, an **$n$th root** of a number $x$ is the number $r$ which, when $n$ copies are multiplied together, yields $x$:\n\n$$r^n = \\underbrace{r \\times r \\times \\dotsb \\times r}_{n\\text{ factors}} = x.$$\n\nThe positive integer $n$ is called the *index* or *degree*, and the number $x$ of which the root is taken is the *radicand.* A root of degree 2 is called a *[[square root|0F7FQS6XY6]]* and a root of degree 3, a *cube root*. Roots of higher degree are referred by using ordinal numbers, as in *fourth root*, *twentieth root*, etc. The computation of an $n$th root is a **root extraction**.\n",
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