Question

find the complex conjugate of the given number.
-8 + 2i
write your answer in the form a + bi.

Explanation:

Step1: Recall the definition of complex conjugate

For a complex number \( z = a + bi \), its complex conjugate \( \overline{z} \) is defined as \( a - bi \), where \( a \) and \( b \) are real numbers.

Step2: Apply the definition to the given number

The given complex number is \( -8 + 2i \), where \( a = -8 \) and \( b = 2 \). Using the definition of complex conjugate, we change the sign of the imaginary part. So the complex conjugate will be \( -8 - 2i \).

Answer:

\( -8 - 2i \)