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$Find the complex conjugate bar(z_(1)) of {:[z_(1)=-4i+4.],[ bar(z_(1))=◻]:}$

Find the complex conjugate $\overline{z_{1}}$ of $\newline$ $\begin{array}{l} z_{1}=-4 i+4 \\ \overline{z_{1}}=\square \end{array}$

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Complex conjugates

Full solution

Q. Find the complex conjugate

\overline{z_{1}}

of

\newline

\begin{array}{l} z_{1}=-4 i+4 \\ \overline{z_{1}}=\square \end{array}

Identify Parts of $z_1$ : Identify the real and imaginary parts of the complex number $z_1$ . In $z_1 = -4i + 4$ , the real part is $4$ and the imaginary part is $-4$ (the coefficient of $i$ ). Real part: $4$ Imaginary part: $-4$
Find Complex Conjugate: Determine the complex conjugate of $z_1 = -4i + 4$ . The complex conjugate of a complex number is obtained by changing the sign of the imaginary part. Therefore, the complex conjugate of $-4i + 4$ , denoted as $\bar{z_1}$ , is $4i + 4$ . Complex conjugate: $\bar{z_1} = 4i + 4$

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