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Algebra of Complex Numbers

If z is a c...

Question

If $z$ is a complex number then $z + ¯ ¯ ¯ z =$

A

R e (z)

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B

2 R e (z)

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C

I m (z)

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D

2 I m (z)

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Solution

The correct option is B $2 R e (z)$
Let $z$ be $a + i b$
then , $¯ ¯ ¯ z = a - i b$
$z + ¯ ¯ ¯ z = 2 a$
$= 2 R e (z)$

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