Square root of 2 the square root of two, with a reasonable small denominator, the fraction (≈ 1.4142857) is sometimes used. The sequence in the OEIS gives the numerical value for the square root of two, truncated to 65 decimal places: The Babylonian clay tablet YBC 7289 (c. 1800–1600 BC) gives an approximation of in four sexagesimal figures, , which is accurate to about six decimal digits, and is the closest possible three-place sexagesimal representation of : Another early close approximation is given in ancient Indian mathematical texts, the Sulbasutras (c. 800–200 BC) as follows: "Increase the length [of the side] by its third
Penrose square root law Penrose square root law In the mathematical theory of games, the Penrose square root law, originally formulated by Lionel Penrose, concerns the distribution of the voting power in a voting body consisting of "N" members. It states that the "a priori" voting power of any voter, measured by the Penrose–Banzhaf index formula_1 scales like formula_2. This result was used to design the Penrose method of for allocating the voting weights of representatives in a decision-making bodies proportional to the square root of the population represented. To estimate the voting index of any player one needs to estimate the number of