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 shown to contain no solutions as follows. Since formula_24 is even, formula_29 must be divisible by formula_30, which makes the entire equation congruent to modulo formula_30: The square of any odd number is always formula_33. The square of any even number is always formula_34. Since both formula_18 and formula_19 are odd and formula_24 is even, we have: which is impossible. Therefore, the fifth possibility is also ruled out, leaving the sixth to be the only possible combination to contain solutions, if any. An extension of this lemma is the result that two identical whole-number squares can never be added to