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    This is an experimental technology, part of the Harmony (ECMAScript 6) proposal.
    Because this technology's specification has not stabilized, check the compatibility table for usage in various browsers. Also note that the syntax and behavior of an experimental technology is subject to change in future version of browsers as the spec changes.


    The Math.hypot() function returns the square root of the sum of squares of its arguments, that is

    Math.hypot(v1,v2,,vn)=i=1nvi2=v12+v22++vn2\mathtt{\operatorname{Math.hypot}(v_1, v_2, \dots, v_n)} = \sqrt{\sum_{i=1}^n v_i^2} = \sqrt{v_1^2 + v_2^2 + \dots + v_n^2}


    Math.hypot([value1[,value2, ...]]) 


    value1, value2, ...


    Because hypot is a static method of Math, you always use it as Math.hypot(), rather than as a method of a Math object you created (Math is not a constructor).

    If no arguments are given, the result is +0.

    If at least one of arguments cannot be converted to a number, the result is NaN.

    With one argument, Math.hypot(x) returns the same as Math.abs(x).


    Example: Using Math.hypot

    Math.hypot(3, 4)        // 5
    Math.hypot(3, 4, 5)     // 7.0710678118654755
    Math.hypot()            // 0
    Math.hypot(NaN)         // NaN
    Math.hypot(3, 4, "foo") // NaN, +"foo" => NaN
    Math.hypot(3, 4, "5")   // 7.0710678118654755, +"5" => 5
    Math.hypot(-3)          // 3, the same as Math.abs(-3)


    This can be emulated using the following function:

    if (!Math.hypot) {
      Math.hypot = function hypot() {
        var y = 0;
        var length = arguments.length;
        for (var i = 0; i < length; i++) {
          if(arguments[i] === Infinity || arguments[i] === -Infinity) {
            return Infinity;
          y += arguments[i] * arguments[i];
        return Math.sqrt(y);
    Specification Status Comment
    ECMAScript 6 (ECMA-262)
    The definition of 'Math.hypot' in that specification.
    Draft Initial definition

    Browser compatibility

    Feature Chrome Firefox (Gecko) Internet Explorer Opera Safari
    Basic support Not supported 27 (27) Not supported Not supported Not supported
    Feature Android Chrome for Android Firefox Mobile (Gecko) IE Mobile Opera Mobile Safari Mobile
    Basic support Not supported Not supported 27.0 (27) Not supported Not supported Not supported

    See also

    • The Math object it belongs to.

    Document Tags and Contributors

    Contributors to this page: ziyunfei,, rwaldron, fscholz, kchapelier
    Last updated by: fscholz,