Step 1: Identify the complex number z. Here, z = 2 + 2i.
Step 2: Find the conjugate of z, denoted as z*. The conjugate of z = 2 + 2i is z* = 2 - 2i.
Step 3: Set up the expression z/z*. This means we will divide z by its conjugate: (2 + 2i) / (2 - 2i).
Step 4: Multiply the numerator and the denominator by the conjugate of the denominator to simplify. This gives us: (2 + 2i)(2 + 2i) / (2 - 2i)(2 + 2i).
