For z = 2 + 3i, verify the following: (z+z) is real - Vidyadip

Question

For $z = 2 + 3i,$ verify the following:
$(z+\bar{z})$ is real

✓

Answer

$(z+\bar{z})=(2+3 i)+(2-3 i)$
$=2+3 i+2-3 i$
$=4, \text { which is a real number. }$
$\therefore z+z \text { is real. }$

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