Question

Calcule V3+i/V3-i
URGENTEEEE

Answer 1

Resposta:

$\frac{\sqrt{3}+i }{\sqrt{3}-i } \\ \\ \frac{\sqrt{3}+i }{\sqrt{3}-i }.\frac{\sqrt{3}+i }{\sqrt{3}+i }=\frac{(\sqrt{3} )^{2}+2.\sqrt{3}.i+i^{2} }{(\sqrt{3} )^{2}-i^{2} }\\ \\ \frac{3+2\sqrt{3}.i-1 }{3-(-1)}=\frac{2+2\sqrt{3}.i }{4}\\ \\ \frac{2(1+\sqrt{3}.i )}{4}\\ \\ \frac{1+\sqrt{3}.i }{2}$

bons estudos!