# Function nthRoot Calculate the nth root of a value. The principal nth root of a positive real number A, is the positive real solution of the equation x^root = A For matrices, the function is evaluated element wise. ## Syntax ```js math.nthRoot(a) math.nthRoot(a, root) ``` ### Parameters Parameter | Type | Description --------- | ---- | ----------- `a` | number | BigNumber | Array | Matrix | Complex | Value for which to calculate the nth root `root` | number | BigNumber | The root. Default value: 2. ### Returns Type | Description ---- | ----------- number | Complex | Array | Matrix | Returns the nth root of `a` ### Throws Type | Description ---- | ----------- ## Examples ```js math.nthRoot(9, 2) // returns 3, as 3^2 == 9 math.sqrt(9) // returns 3, as 3^2 == 9 math.nthRoot(64, 3) // returns 4, as 4^3 == 64 ``` ## See also [sqrt](sqrt.md), [pow](pow.md)