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Conjugate of a Complex Number

If z1=1+2i ...

Question

If $z_{1} = 1 + 2 i$ and $z_{2} = 2 + 5 i$ , then find the conjugate of $z_{1} + z_{2}$ .

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Solution

$z_{1} + z_{2} = 1 + 2 i + 2 + 5 i = 3 + 7 i$
so,
$¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ z_{1} + z_{2} = ¯ ¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 3 + 7 i = 3 - 7 i$

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