Question

Determine o módulo de Z= 24 + 18i

Answer 1

Explicação passo-a-passo:

O módulo do número complexo $z=a+bi$.

$|z|=\sqrt{a^{2}+b^{2} }$

Temos que $z=24+18i$.

$|z|=\sqrt{24^{2}+18^{2} } \\\\|z|=\sqrt{576+324} \\\\|z|=\sqrt{900} \\\\|z|=30$

Answer 2

Para calcularmos o módulo aplique: $\sf |a+bi|=\sqrt{a^2+b^2}$

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$\underbrace{Veja:}$

$\Rightarrow~~\sf z=24+18i$

$\Rightarrow~~\sf |z|=|24+18i|$

$\Rightarrow~~\sf |z|=\sqrt{(24)^2+(18)^2}$

$\Rightarrow~~\sf |z|=\sqrt{576+324}$

$\Rightarrow~~\sf |z|=\sqrt{900}$

$\Rightarrow~~\sf |z|=\sqrt{30^2}$

$\therefore~~\boxed{\sf |z|=30}~~\to~~resposta$