If z be a complex number satisfying $z^{2}$ + 1 = 0 Find the value of $| z |$ .

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Solution

Given $z^{2}$ + 1 = 0

$z^{2}$ = -1

z = $+ - - i$

$| z |$ = $\sqrt{x^{2} + y^{2}}$ = $\sqrt{0 + 1}$ = 1

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