Question 1157653
<br>
Use deMoivre's Theorem.<br>
{{{z^3+2+2i*sqrt(3) = 0}}}<br>
{{{z^3 = -2-2i*sqrt(3) = 4cis(4pi/3)}}}<br>
{{{z = (4cis(4pi/3))^(1/3) = (4^(1/3))(cis(4pi/9))}}}<br>
That is equivalent to answer 1.<br>
ANSWER: 1) 2^2/3(cos4pi/9 + i.sin 4pi/9<br>