If z = 2 + 2i, find the conjugate of z.
Correct Answer: z̅ = 2 - 2i
- Step 1: Identify the complex number z. In this case, z = 2 + 2i.
- Step 2: Understand that the conjugate of a complex number is found by changing the sign of the imaginary part. The imaginary part here is +2i.
- Step 3: Change the sign of the imaginary part. So, +2i becomes -2i.
- Step 4: Write the conjugate of z using the real part and the new imaginary part. The conjugate is z̅ = 2 - 2i.
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