document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150567>Question 1150567</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hey! So I came across a question that asks for the multiplicative inverse of 2+3i. I looked at the answer choices and determined that it's 1/2-3i. However, the key says that the answer is 2-3i/13. Could I get an explanation as to why this is the answer? Thank you.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #772778 by </B><A HREF=/tutors/aboutme.mpl?userid=godlke321><B>godlke321(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=godlke321><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=772778\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The answer to this problem is 1/2+3i\r<BR>\n" );
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document.write( "However, if the problem wants the answer in the simplest form (meaning that no i variable should be left on the denominator side. You will have to performs 1/2+3i times 2-3i/2-3i. This should lead you to get 2-3i/ 4-9i^2. i^2= -1\r<BR>\n" );
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document.write( "2-3i/4+9= 2-3i/13\r<BR>\n" );
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document.write( "Answer in simplest form:  2-3i/13 </SPAN>\n" );
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