document.write( "Question 615356: Can someone PLEASE help me with this problem?! THANK YOU! \r
\n" ); document.write( "\n" ); document.write( "Find all the square roots of the complex number -3-2i.\r
\n" ); document.write( "\n" ); document.write( "Write the square roots in polar (re^(i(theta))) form, with the smaller angle first. Give your angles in degrees.\r
\n" ); document.write( "\n" ); document.write( "Root 1)=?
\n" ); document.write( "Root 2)=?\r
\n" ); document.write( "\n" ); document.write( "Write the square roots in a+bi form, with the smaller angle first.\r
\n" ); document.write( "\n" ); document.write( "Root 1)=?
\n" ); document.write( "Root 2)=?
\n" ); document.write( "

Algebra.Com's Answer #387137 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
Find all the square roots of the complex number -3-2i.
\n" ); document.write( "-----------
\n" ); document.write( "z = -3-2i
\n" ); document.write( "\"r+=+sqrt%283%5E2+%2B+2%5E2%29+=+sqrt%2813%29\"
\n" ); document.write( "theta = atan(2/3) =~ 213.69 degs
\n" ); document.write( "---------
\n" ); document.write( "z = sqrt(13)cis(theta)
\n" ); document.write( "\"sqrt%28z%29+=+root%284%2C13%29cis%28theta%2F2%29\"
\n" ); document.write( "= 1.89883*cis(106.84)
\n" ); document.write( "= -0.55 + i*1.817
\n" ); document.write( "===============
\n" ); document.write( "\"sqrt%28z%29+=+root%284%2C13%29cis%28%28theta%2F2%29+%2B+180%29%29\"
\n" ); document.write( "= 1.89883*cis(286.845)
\n" ); document.write( "= 0.55 - i*1.817
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