document.write( "Question 899329: show that the complex numbers have square roots and that the square roots are contained in the complex plane.What are the square roots of i? \n" ); document.write( "

Algebra.Com's Answer #545369 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Using DeMoivre's formula,
\n" ); document.write( " $\"sqrt%28i%29=%28cos%2890%29%2Bisin%2890%29%29%5E%281%2F2%29\"$
\n" ); document.write( " $\"%280%2Bi%29%5E%281%2F2%29=cos%2890%2F2%29%2Bisin%2890%2F2%29\"$
\n" ); document.write( " $\"%280%2Bi%29%5E%281%2F2%29=cos%2845%29%2Bisin%2845%29\"$
\n" ); document.write( " $\"%280%2Bi%29%5E%281%2F2%29=sqrt%282%29%2F2%2B%28sqrt%282%29%2F2%29i\"$ \n" ); document.write( "

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