document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=915278>Question 915278</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the multiplicative inverse of 3 - 2i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #555509 by </B><A HREF=/tutors/aboutme.mpl?userid=shiva_agarwal><B>shiva_agarwal(2)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=shiva_agarwal><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/cgi-bin/show-face.mpl?user=shiva_agarwal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=555509\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the multiplicative inverse be x so that<BR>\n" );
document.write( "3-2i * x=1  (1 is identity element for multiplication)<BR>\n" );
document.write( "so that x=1/3-2i<BR>\n" );
document.write( "now multiply numerator and denominator by 3+2i to rationalize your fraction so that you get<BR>\n" );
document.write( "3+2i/3^2-(2i)^2<BR>\n" );
document.write( "=3+2i/9+4   (since i^2=-1 so -2i^2=+4)<BR>\n" );
document.write( "=3+2i/13 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );