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What is the conjugate of the complex number z = 2 + 5i?
What is the conjugate of the complex number z = 2 + 5i?
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Practice Questions
1 question
Q1
What is the conjugate of the complex number z = 2 + 5i?
2 - 5i
2 + 5i
-2 + 5i
-2 - 5i
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The conjugate of z = 2 + 5i is z̅ = 2 - 5i.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the conjugate of the complex number z = 2 + 5i?
Solution:
The conjugate of z = 2 + 5i is z̅ = 2 - 5i.
Steps: 5
Show Steps
Step 1: Identify the complex number. In this case, the complex number is z = 2 + 5i.
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 5i. To find the conjugate, we change 5i to -5i.
Step 4: Write the conjugate using the real part and the new imaginary part. The real part is 2, and the new imaginary part is -5i.
Step 5: Combine them to get the conjugate: z̅ = 2 - 5i.
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