Joe Root his first golden duck in his ODI career. The 5th ODI was better for Root as he scored a quick 21 before being bowled and also took the wicket of George Bailey. England lost the series 2–1 and Root finished the series with 36 runs and 1 wicket. Root was selected for the 2013-14 Ashes series. He was selected at number 6 for the first Test as Michael Carberry was given the opening batsman role alongside Alastair Cook. Root only managed 2 runs from 7 balls in the first innings before being caught off a Mitchell Johnson delivery. In the
Root of unity 5th root of unity) is an element of the ring Z[] (). For two pairs of non-real 5th roots of unity these sums are inverse golden ratio and minus golden ratio. For , for any root of unity equals to either 0, ±2, or ± (). For , for any root of unity, equals to either 0, ±1, ±2 or ± (). Root of unity In mathematics, a root of unity, occasionally called a de Moivre number, is any complex number that gives 1 when raised to some positive integer power . Roots of unity are used in many branches