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
Nth root and 1, "ω", "ω", ... "ω" are the "n"th roots of unity. For example, the four different fourth roots of 2 are In polar form, a single "n"th root may be found by the formula Here "r" is the magnitude (the modulus, also called the absolute value) of the number whose root is to be taken; if the number can be written as "a+bi" then formula_97. Also, formula_98 is the angle formed as one pivots on the origin counterclockwise from the positive horizontal axis to a ray going from the origin to the number; it has the properties that formula_99