 Solution

ID: past-exam-of-the-mathematical-methods-i-course-of-the-university-of-oxford/2017/1/a/solution

Since

(1 + i)^{2} = 2 i

, the two square roots are

1 + i

and

- 1 - i

1 + i

, whose real part is

1.

If the notation is meant to include both square-root values, their real parts are

+ 1

and

- 1

. Stating the principal-branch convention removes that ambiguity.

 New to topics? Read the docs here!