Find all roots of the equation Z & # 178; = 8i,

Find all roots of the equation Z & # 178; = 8i,

z^2=8e^(iπ/2)
z=√8 e^(iπ/4+kπ), k=0,1
When k = 0, Z1 = 2 √ 2E ^ (I π / 4) = 2 √ 2 (√ 2 / 2 + I √ 2 / 2) = 2 (1 + I)
When k = 0, Z2 = - Z1 = - 2 (1 + I)