Question

$if \: z = 3 + 2i$
then verify ...
$|z | = | - z|$

Answer 1

$z = 3 + 2i \\ tp... |z| = | - z| \\ |3 + 2i| = | - 3 - 2i| \\ \sqrt{ {3}^{2} + {2}^{2} } = \sqrt{ { - 3}^{2} + { { - 2}^{2} }} \\ \sqrt{13} = \sqrt{13}$
since Lhs will is equal to rhs... hence proved