Question

Sendo Z = 3+ 2i e W= 1 + i, qual o valor de | Z + W| ?
A)5
B)7
C)9
D)15

Answer 1

$\large\boxed{\begin{array}{l}\rm Z=3+2i~~W=1+i\\\rm Z+W=(3+1)+(2+1)i\\\rm Z+W=4+3i\\\rm |Z+W|=\sqrt{4^2+3^2}\\\rm |Z+W|=\sqrt{16+9}\\\rm |Z+W|=\sqrt{25}\\\rm |Z+W|=5\\\huge\boxed{\boxed{\boxed{\boxed{\rm\dagger\red{\maltese}~\blue{alternativa~A}}}}}\end{array}}$