mathjs/docs/reference/functions/sqrtm.md

Math.js is an extensive math library for JavaScript and Node.js. It features a flexible expression parser with support for symbolic computation, comes with a large set of built-in functions and constants, and offers an integrated solution to work with dif

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# Function sqrtm

Calculate the principal square root of a square matrix.
The principal square root matrix `X` of another matrix `A` is such that `X * X = A`.

https://en.wikipedia.org/wiki/Square_root_of_a_matrix


## Syntax

```js
X = math.sqrtm(A)
```

### Parameters

Parameter | Type | Description
--------- | ---- | -----------
`A` | Array &#124; Matrix | The square matrix `A`

### Returns

Type | Description
---- | -----------
Array &#124; Matrix | The principal square root of matrix `A`


## Examples

```js
math.sqrtm([[1, 2], [3, 4]]) // returns [[-2, 1], [1.5, -0.5]]
```


## See also

[sqrt](sqrt.md),
[pow](pow.md)