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$Find the complex conjugate bar(z_(1)) of {:[z_(1)=-4i-6.],[ bar(z_(1))=◻]:}$

Find the complex conjugate $\overline{z_{1}}$ of $\newline$ $\begin{array}{l} z_{1}=-4 i-6 \\ \overline{z_{1}}=\square \end{array}$

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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-6 \\ \overline{z_{1}}=\square \end{array}

Identify Parts of Complex Number: Identify the real and imaginary parts of the complex number $z_1$ . In $z_1 = -4i - 6$ , $-6$ is the real part and $-4$ is the coefficient of the imaginary part $i$ . Real part: $-6$ Imaginary part: $-4$
Determine Complex Conjugate: Determine the complex conjugate of $z_1 = -4i - 6$ . The complex conjugate of a complex number is obtained by changing the sign of the imaginary part. Therefore, the complex conjugate of $-4i - 6$ , denoted as $\bar{z_1}$ , is $-6 + 4i$ . Complex conjugate: $-6 + 4i$

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