mathjs/docs/reference/functions/hypot.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 hypot

Calculate the hypotenusa of a list with values. The hypotenusa is defined as:

    hypot(a, b, c, ...) = sqrt(a^2 + b^2 + c^2 + ...)

For matrix input, the hypotenusa is calculated for all values in the matrix.


## Syntax

```js
math.hypot(a, b, ...)
math.hypot([a, b, c, ...])
```

### Parameters

Parameter | Type | Description
--------- | ---- | -----------
`args` | ... number &#124; BigNumber &#124; Array &#124; Matrix | A list with numeric values or an Array or Matrix. Matrix and Array input is flattened and returns a single number for the whole matrix.

### Returns

Type | Description
---- | -----------
number &#124; BigNumber | Returns the hypothenusa of the input values.


## Examples

```js
math.hypot(3, 4)      // 5
math.hypot(3, 4, 5)   // 7.0710678118654755
math.hypot([3, 4, 5]) // 7.0710678118654755
math.hypot(-2)        // 2
```


## See also

[abs](abs.md),
[norm](norm.md)