Joe Root to an outstanding innings of 156 runs from Aaron Finch. Root came in with England 37/3 and he managed to score 90* off 49 balls but England lost by 39 runs. In the second T20I Joe batted at number 7 but only faced 1 ball scoring 1 run before England's innings finished. England won the match and drew the series, Root finished with 91 runs (both matches he was not out) and 1 wicket. The third ODI was abandoned in England's 15th over, Root had made 12 runs before being caught. In the fourth ODI Root was bowled for 0,
Square root of 2 fraction representation: The convergents formed by truncating this representation form a sequence of fractions that approximate the square root of two to increasing accuracy, and that are described by the Pell numbers (known as side and diameter numbers to the ancient Greeks because of their use in approximating the ratio between the sides and diagonal of a square). The first convergents are: . The convergent differs from by almost exactly and then the next convergent is . The following nested square expressions converge to formula_79: The reciprocal of the square root of two (the square root of ) is a