document.write( "Question 1123122: 66+3i/3-6i \n" ); document.write( "
Algebra.Com's Answer #739360 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "What I'm sure you mean is

\n" ); document.write( "\"%2866%2B3i%29%2F%283-6i%29\"

\n" ); document.write( "It's rather sloppy not to use parentheses where they are needed... and frequently the result is that the solution you get is not to the problem you intended.

\n" ); document.write( "The standard rule is not to leave any imaginary parts in the denominator -- i.e., always answer the question in the form a+bi.

\n" ); document.write( "To clear an expression of the form a+bi in the denominator, you need to multiply numerator and denominator by the conjugate, a-bi. The product of a+bi and its conjugate is a^2+b^2; so the denominator will be a real number.

\n" ); document.write( "But in this example, before doing that, note that there is a common factor of 3 in both terms of both the numerator and denominator. So make your work easier by dividing out that common factor first.

\n" ); document.write( "\"%2866%2B3i%29%2F%283-6i%29+=+%2822%2Bi%29%2F%281-2i%29\"

\n" ); document.write( "Then when you multiply by the conjugate, you will have

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\n" ); document.write( "You should be able to finish from there.....
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