document.write( "Question 1083295: Calculate square root(1-3i). Give your answer in a+bi form. In polar form use the angle 0≤θ<2π.
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Algebra.Com's Answer #701552 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"r=sqrt%28%281%29%5E2%2B%28-3%29%5E2%29=sqrt%281%2B9%29=sqrt%2810%29\"$
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\n" ); document.write( " $\"theta=tan%5E%28-1%29%28-3%2F1%29=tan%5E%28-1%29%28-3%29%29=288.4\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"sqrt%281-3i%29=sqrt%28sqrt%2810%29%29%28cos%28288.4%2F2%29%2Bi%2Asin%28288.4%2F2%29%29\"$
\n" ); document.write( " $\"sqrt%281-3i%29=sqrt%28sqrt%2810%29%29%28cos%28144.2%29%2Bi%2Asin%28144.2%29%29\"$
\n" ); document.write( " $\"Z%5B1%5D=-1.442%2B1.040i\"$
\n" ); document.write( "and
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\n" ); document.write( " $\"Z%5B2%5D=1.442-1.040i\"$ \n" ); document.write( "

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