Square root of 3

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 The square root of 3 is equal to the length across the flat sides of a regular hexagon with sides of length 1.
The square root of 3 is equal to the length across the flat sides of a regular hexagon with sides of length 1.

The square root of 3 is the positive real number that, when multiplied by itself, gives the number 3. It denoted by

\sqrt{3}.

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 \sqrt{3}/2. From this the trigonometric function tangent of 60 degrees equals \sqrt{3}/2.

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.

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