 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2013/paper-1/12/a/solution

The original PDF asks for cube roots of

8

2

, and their arguments are

2 kπ /3

k = 0, 1, 2

. Converting to Cartesian form gives

2, - 1 + i 3, - 1 - i 3 .

Cubing any one gives the positive real number

8

 New to topics? Read the docs here!