document.write( "Question 779496: Divide i over 3+2i x 3-2i over 3-2i \n" ); document.write( "

Algebra.Com's Answer #475234 by Alan3354(69443) $\"\"$ $\"About$

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Divide i over 3+2i x 3-2i over 3-2i
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\n" ); document.write( "Divide or multiply?
\n" ); document.write( "Use * (Shift 8) for multiply, not x.
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\n" ); document.write( "i/(3+2i) * (3-2i)/(3-2i)
\n" ); document.write( "= i/(3+2i)
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\n" ); document.write( "To rationalize, multiply NUM and DEN by the conjugate of the DEN, 3-2i
\n" ); document.write( "= $\"i%2A%283-2i%29%2F%28%283%2B2i%29%2A%283-2i%29%29\"$
\n" ); document.write( "= $\"%283i+%2B+2%29%2F%289+%2B+4%29\"$
\n" ); document.write( "= $\"%282%2B3i%29%2F13\"$
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