document.write( "Question 965200: The value of √i =ą1+I/√2
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Algebra.Com's Answer #589931 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"i=0%2Bi=cos%2890%29%2Bisin%2890%29\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"sqrt%28i%29=%28cos%2890%29%2Bisin%2890%29%29%5E%281%2F2%29\"$
\n" ); document.write( "Using DeMoivre's theorem,
\n" ); document.write( " $\"sqrt%28i%29=cos%28%2890%2Bk%2A%28360%29%29%2F2%29%2Bisin%28%2890%2Bk%2A%28360%29%29%2F2%29\"$ for k=0 and k=1.
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\n" ); document.write( " $\"k=0\"$
\n" ); document.write( " $\"sqrt%28i%29=cos%2890%2F2%29%2Bisin%2890%2F2%29\"$
\n" ); document.write( " $\"sqrt%28i%29=cos%2845%29%2Bisin%2845%29\"$
\n" ); document.write( " $\"sqrt%28i%29=%28sqrt%282%29%29%2F2%29%281%2Bi%29\"$
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\n" ); document.write( " $\"k=1\"$
\n" ); document.write( " $\"sqrt%28i%29=cos%28450%2F2%29%2Bisin%28450%2F2%29\"$
\n" ); document.write( " $\"sqrt%28i%29=cos%28225%29%2Bisin%28225%29\"$
\n" ); document.write( " $\"sqrt%28i%29=-%28sqrt%282%29%2F2%29%281%2Bi%29\"$
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