document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189371>Question 1189371</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express $\frac 1{1+\frac 1{1-\frac 1{1+i}}}$ in the form $a+bi$, where $a$ and $b$ are real numbers.\r<BR>\n" );
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document.write( "In case you have trouble reading that, here's the same expression written with the other type of fraction notation: 1/(1+1/(1-1/(1+i))). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820720 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=820720\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Express $\frac 1{1+\frac 1{1-\frac 1{1+i}}}$ in the form $a+bi$, where $a$ and $b$ are real numbers.\r<BR>\n" );
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document.write( "In case you have trouble reading that, here's the same expression written with the other type of fraction notation: 1/(1+1/(1-1/(1+i))).<BR>\n" );
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document.write( "This is just grinding it out.<BR>\n" );
document.write( "Work right to left.<BR>\n" );
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document.write( "To start:<BR>\n" );
document.write( "1/(1+i)<BR>\n" );
document.write( "Multiply the DEN and the NUM by the conjugate of the DEN.<BR>\n" );
document.write( "= (1-i)/((1+i)*(1-i) = (1-i)/2<BR>\n" );
document.write( " </SPAN>\n" );
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