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What is the conjugate of the complex number z = 5 - 2i?

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Question: What is the conjugate of the complex number z = 5 - 2i?

Options:

  1. 5 + 2i
  2. 5 - 2i
  3. 2 - 5i
  4. 2 + 5i

Correct Answer: 5 + 2i

Solution: 

The conjugate of z = 5 - 2i is 5 + 2i.

What is the conjugate of the complex number z = 5 - 2i?

Practice Questions

Q1
What is the conjugate of the complex number z = 5 - 2i?
  1. 5 + 2i
  2. 5 - 2i
  3. 2 - 5i
  4. 2 + 5i

Questions & Step-by-Step Solutions

What is the conjugate of the complex number z = 5 - 2i?
Correct Answer: 5 + 2i
  • Step 1: Identify the complex number z. In this case, z = 5 - 2i.
  • Step 2: Understand that the conjugate of a complex number is found by changing the sign of the imaginary part.
  • Step 3: The imaginary part of z is -2i. To find the conjugate, change -2i to +2i.
  • Step 4: Write the conjugate of z. The conjugate is 5 + 2i.
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