141421356237

141421356237 is a 12-digit numeric string derived from the decimal expansion of the square root of two. When the decimal point is removed from 1.414213562373..., the result is 141421356237. This sequence encodes the integer part and the first 11 digits of the fractional part of sqrt(2).

Mathematical context: sqrt(2) is the positive solution to the equation x^2 = 2 and is a well-known irrational number. Its decimal expansion begins with 1.414213562373095..., a non-terminating, non-repeating sequence. The digits in 141421356237 correspond to the initial portion of that expansion and illustrate how an irrational number can have a finite-looking prefix.

Applications and usage: The 12-digit string is sometimes used as a compact reference for quick approximations of sqrt(2) in simple calculations, programming tests, or educational examples demonstrating decimal expansion and irrationality. It is not an exact representation of sqrt(2) beyond the included digits, and more digits follow in the true decimal expansion.

See also: square root of 2, irrational numbers, decimal expansion of irrational numbers.