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if $w = 6 - 7i$, write the expression in the standard form $a + bi$. $w…

Question

if $w = 6 - 7i$, write the expression in the standard form $a + bi$.
$w + \overline{w}$

$w + \overline{w} = \square$ (simplify your answer.)

Explanation:

Step1: Find the conjugate of \( w \)

The conjugate of a complex number \( a + bi \) is \( a - bi \). Given \( w = 6 - 7i \), its conjugate \( \overline{w} \) is \( 6 + 7i \).

Step2: Add \( w \) and \( \overline{w} \)

$$ LATEXBLOCK0 $$

Answer:

\( 12 \) (or \( 12 + 0i \))