Question

if ( z = 3 - 8i ), write the expression in the standard form ( a + bi ).( z + overline{z} )( z + overline{z} = square ) (simplify your answer.)

Explanation:

Step1: Find conjugate of $z$

For $z=3-8i$, $\bar{z}=3+8i$

Step2: Add $z$ and its conjugate

$z+\bar{z}=(3-8i)+(3+8i)$

Step3: Combine like terms

$z+\bar{z}=3+3 + (-8i+8i)=6+0i$

Answer:

$6$ (or $6+0i$)