sqrtat2

sqrtat2 is a mathematical constant that represents the square root of 2, often approximated as 1.414. This value is fundamental in geometry, particularly in relation to squares and right-angled triangles. It is the length of the diagonal of a square with sides of length 1 unit, as described by the Pythagorean theorem (a² + b² = c²). In this case, 1² + 1² = c², which simplifies to 2 = c², and therefore c = sqrt(2). Similarly, sqrt(2) is the length of the hypotenuse of an isosceles right-angled triangle with two sides of length 1. This irrational number cannot be expressed as a simple fraction of two integers and has been known since antiquity. Its significance extends to various fields of mathematics, physics, and engineering where precise geometric relationships are crucial.