What is the conjugate of the complex number 5 - 2i? (2020)

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Question: What is the conjugate of the complex number 5 - 2i? (2020)

Options:

Correct Answer: 5 + 2i

Exam Year: 2020

Solution:

The conjugate of a complex number a + bi is a - bi. Thus, the conjugate of 5 - 2i is 5 + 2i.

What is the conjugate of the complex number 5 - 2i? (2020)

What is the conjugate of the complex number 5 - 2i? (2020)

Step 1: Identify the complex number. In this case, the complex number is 5 - 2i.
Step 2: Recognize the format of a complex number, which is a + bi, where 'a' is the real part and 'b' is the imaginary part.
Step 3: In the complex number 5 - 2i, the real part (a) is 5 and the imaginary part (b) is -2.
Step 4: To find the conjugate, change the sign of the imaginary part. So, -2 becomes +2.
Step 5: Write the conjugate using the real part and the new imaginary part. The conjugate is 5 + 2i.

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