Digital root number is the number mod 11 (Ɛ), for example, 1972 is 1 + 9 + 7 + 2 = 19 = 17 which is 1 + 7 = 8, while in decimal the root of the same number (3110) is 5; and in base 16 a digital root of a number is the number mod 15 (0xF), for example, 0x7DF is 7 + 13 + 15 = 35 = 0x23 which is 2 + 3 = 5, while in decimal the root of the same number (2015) is 8. Digital roots form an important mechanic in the visual novel adventure
Square root of 2 Since it is a convergent of the continued fraction representation of the square root of two, any better rational approximation has a denominator not less than 169, since (≈ 1.4142012) is the next convergent with an error of approx. . The rational approximation of the square root of two, , derived from the fourth step in the Babylonian algorithm starting with , is too large by approx. : its square is … This is a table of recent records in calculating digits of A short proof of the irrationality of can be obtained from the rational root theorem, that is,