36 (number) 36 (number) 36 (thirty-six) is the natural number following 35 and preceding 37. 36 is both the square of six and a triangular number, making it a square triangular number. It is the smallest square triangular number other than one, and it is also the only triangular number other than one whose square root is also a triangular number. It is also a circular number- a square number that ends with the same integer by itself (6×6=36). It is the smallest number "n" with exactly eight solutions to the equation φ("x") = "n". Being the smallest number with exactly nine
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,