SOLUTION: Can someone PLEASE help me with this problem?! THANK YOU! Find all the square roots of the complex number -3-2i. Write the square roots in polar (re^(i(theta))) form, with t

Question 615356: Can someone PLEASE help me with this problem?! THANK YOU!
Find all the square roots of the complex number -3-2i.
Write the square roots in polar (re^(i(theta))) form, with the smaller angle first. Give your angles in degrees.
Root 1)=?
Root 2)=?
Write the square roots in a+bi form, with the smaller angle first.
Root 1)=?
Root 2)=?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find all the square roots of the complex number -3-2i.
-----------
z = -3-2i

theta = atan(2/3) =~ 213.69 degs
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z = sqrt(13)cis(theta)

= 1.89883*cis(106.84)
= -0.55 + i*1.817
===============

= 1.89883*cis(286.845)
= 0.55 - i*1.817
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