Square root of 3
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The square root of 3 is the positive real number that, when multiplied by itself, gives the number 3. It denoted by
Its numerical value is approximately 1.732 (sequence A002194 in OEIS).
The square root of 3 is an irrational number. It is also known as Theodorus' constant, named after Theodorus of Cyrene.
[edit] Geometry
If an equilateral triangle (equilateral polygon with three sides) with sides of length 1 is cut into two equal halves, by bisecting an internal angle across to make a right angle with one side, the right angle triangle's hypotenuse is length one and the sides are of length 1/2 and From this the trigonometric function tangent of 60 degrees equals
It is the distance between opposite flat sides of a regular hexagon with sides of length 1.
It is the length of the diagonal of a unit cube.
The shape Vesica piscis has a major axis: minor axis ratio equal to the square root of three, this can be shown by constructing two equilateral triangles within the it.