document.write( "Question 349256: please tell me how to do square roots of nehative numbers \n" ); document.write( "

Algebra.Com's Answer #249714 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Square roots of negative numbers are called imaginary
\n" ); document.write( "numbers. A complex number has an imaginary part
\n" ); document.write( "which includes $\"sqrt%28-1%29\"$ and a real part which is
\n" ); document.write( "just an ordinary number.
\n" ); document.write( "The complex numbers are plotted on what is called the
\n" ); document.write( "complex plane. If this is too much, just remember
\n" ); document.write( " $\"i+=+sqrt%28-1%29\"$
\n" ); document.write( " $\"i%5E2+=+-1\"$
\n" ); document.write( " $\"i%5E3+=+-sqrt%28-1%29\"$
\n" ); document.write( " $\"i%5E4+=+%2B1\"$
\n" ); document.write( "and this cycle just repeats over and over
\n" ); document.write( "You can turn any square root of a negative number
\n" ); document.write( "into a number times $\"sqrt%28-1%29\"$ , as follows:
\n" ); document.write( " $\"sqrt%28-47%29+=+sqrt%2847%29%2Asqrt%28-1%29\"$
\n" ); document.write( " $\"+sqrt%2847%29%2Asqrt%28-1%29+=+sqrt%2847%29%2Ai\"$
\n" ); document.write( "or
\n" ); document.write( " $\"sqrt%28-81%29+=+3%2Asqrt%28-1%29\"$
\n" ); document.write( " $\"3%2Asqrt%28-1%29+=+3i\"$ \n" ); document.write( "

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