mathjs/docs/reference/functions/nthRoot.md

Math.js is an extensive math library for JavaScript and Node.js. It features a flexible expression parser and offers an integrated solution to work with numbers, big numbers, complex numbers, units, and matrices.

# 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, root)
```

### Parameters

Parameter | Type | Description
--------- | ---- | -----------
`a` | Number | BigNumber | Boolean | Array | Matrix | null |  Value for which to calculate the nth root
`root` | Number | BigNumber | Boolean | null | The root. Default value: 2.

### Returns

Type | Description
---- | -----------
Number | Complex | Array | Matrix | Returns the nth root of `a`


## 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)


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