Question

Sendo z= 2+i e w = 3-2i , calcule o módulo de z.w
( ) 8



( ) 7



( ) √65



( ) √17



( ) √114

Answer 1

Explicação passo-a-passo:

$\sf |z\cdot w|=|z|\cdot|w|$

$\sf |z\cdot w|=\sqrt{2^2+1^2}\cdot\sqrt{3^2+(-2)^2}$

$\sf |z\cdot w|=\sqrt{4+1}\cdot\sqrt{9+4}$

$\sf |z\cdot w|=\sqrt{5}\cdot\sqrt{13}$

$\sf |z\cdot w|=\sqrt{65}$