Question

A soma do complexo Z = 20 – (10 + √20i) com W = 5 + (7 + √45i) resulta no complexo P igual a: a) 15 + √65i b) 22 + √65i c) 22 + √5i d) 15 – √5i

Answer 1

Resposta:

$\text{Leia abaixo}$

Explicação passo-a-passo:

$z = 20 - (10 + (\sqrt{20})i)$

$z = 20 - 10 + (\sqrt{2^2.5})i$

$z = 10 + (2\sqrt{5})i$

$w = 5 + (7 + (\sqrt45})i)$

$w = 5 + 7 + (\sqrt{3^2.5})i$

$w = 12 + (3\sqrt{5})i$

$z + w$

$10 + 2(\sqrt{5})i + 12 + (3\sqrt{5})i$

$\boxed{\boxed{22 + (5\sqrt{5})i}}$