document.write( "Question 697386: What's the answer?
\n" ); document.write( "(1-2i)/(3i) \n" ); document.write( "

Algebra.Com's Answer #430018 by Positive_EV(69) $\"\"$ $\"About$

You can put this solution on YOUR website!
In order to simplify a quotient with radicals, there cannot be radicals in the denominator. Since i = $\"sqrt%28-1%29\"$ , it is considered a radical in the denominator. To remove it from the denominator, multiply the expression by i/i, which is just multiplying by 1:
\r
\n" ); document.write( "\n" ); document.write( " $\"%28%281-2i%29%2F%283i%29%29%2A%28i%2Fi%29+=+%28i-2i%5E2%29%2F%283i%5E2%29\"$
\r
\n" ); document.write( "\n" ); document.write( " $\"i%5E2\"$ = -1, so the expression can be simplified to
\r
\n" ); document.write( "\n" ); document.write( " $\"%28i-2i%5E2%29%2F%283i%5E2%29+=+%28i-%28-2%29%29%2F%28-3%29+=+%28%28-i%29-2%29%2F3\"$ \n" ); document.write( "

\n" );