Question 615356
Find all the square roots of the complex number -3-2i. 
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z = -3-2i
{{{r = sqrt(3^2 + 2^2) = sqrt(13)}}}
theta = atan(2/3) =~ 213.69 degs
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z = sqrt(13)cis(theta)
{{{sqrt(z) = root(4,13)cis(theta/2)}}}
= 1.89883*cis(106.84)
= -0.55 + i*1.817
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{{{sqrt(z) = root(4,13)cis((theta/2) + 180))}}}
= 1.89883*cis(286.845)
= 0.55 - i*1.817