Question

Calcule o módulo de um número complexo z=3+3i ​

Answer 1

Explicação passo-a-passo:

Z = 3 + 3i

a=3 (parte real)

b=3 (parte imaginária)

Z| = √a²+b²

Z| = √3² + 3²

Z| = √18 (fatora)

Z = 3√2

Answer 2

$\Large\boxed{\begin{array}{l}\underline{\rm M\acute odulo~de~um~n\acute umero~complexo}\\\sf seja~z=a+bi~um~n\acute umero~complexo.\\\sf o~m\acute odulo~de~z~\acute e~representando~por~\rho\\\sf onde~\\\huge\boxed{\boxed{\boxed{\boxed{\sf \rho=\sqrt{a^2+b^2}}}}}\end{array}}$

$\Large\boxed{\begin{array}{l}\sf z=3+3i\implies a=b=3\\\sf \rho=\sqrt{3^2+3^2}\\\sf \rho=\sqrt{2\cdot 3^{\backslash\!\!\!2}}\\\sf \rho=3\sqrt{2}\end{array}}$