Question

Desenvolva (-1+raiz de 2i/2)3

Answer 1

( -1+ raiz de 2 i/ 2 )³ = (-1)³ + 3.(-1)².(raiz(2)i/2) + 3.(-1).(raiz(2)i/2)² + (raiz(2)i/2)³ 
= -1 +3.raiz(2)i/2 -3.2i²/4 + raiz(2)³i³/8 
= -1 +3/2 + 3.raiz(2)i/2 - raiz(2)³i/8 
= 1/2 + [3.raiz(2)/2 - 2raiz(2)/8]i 
= 1/2 + 10raiz(2)i/8 
= 1/2 + 5raiz(2) i/4