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If z = 2 + 2i, find the conjugate of z.
If z = 2 + 2i, find the conjugate of z.
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Practice Questions
1 question
Q1
If z = 2 + 2i, find the conjugate of z.
2 - 2i
2 + 2i
-2 + 2i
-2 - 2i
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The conjugate of z = 2 + 2i is z̅ = 2 - 2i.
Questions & Step-by-step Solutions
1 item
Q
Q: If z = 2 + 2i, find the conjugate of z.
Solution:
The conjugate of z = 2 + 2i is z̅ = 2 - 2i.
Steps: 4
Show Steps
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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