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Properties of Conjugate of a Complex Number

If z=4-3√2i...

Question

If $z = 4 - 3 \sqrt{2} i$ then the value of $z ¯ ¯ ¯ z =$

A

16

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B

32

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C

17

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D

34

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Solution

The correct option is B $34$
$z = 4 - 3 \sqrt{2 i}$
$¯ ¯ ¯ z = 4 + 3 \sqrt{2} i$
$∴ z ¯ ¯ ¯ z = 4^{2} - (3 \sqrt{2 i})^{2} = 16 + 18 = 34$

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