document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=638529>Question 638529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify the following expressions using your knowledge of imaginary numbers.\r<BR>\n" );
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document.write( "-1 / 3+ i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #402260 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=402260\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1+%2F+%28+3+%2B+i+%29+ ALIGN=MIDDLE  ALT=\"+-1+%2F+%28+3+%2B+i+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply top and bottom by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+-+i+ ALIGN=MIDDLE  ALT=\"+3+-+i+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+-1+%2F+%28+3+%2B+i+%29+%29+%2A+%28%28+3+-+i+%29+%2F+%28+3+-+i+%29%29+ ALIGN=MIDDLE  ALT=\"+%28+-1+%2F+%28+3+%2B+i+%29+%29+%2A+%28%28+3+-+i+%29+%2F+%28+3+-+i+%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+-1%2A%28+3+-+i+%29+%29+%2F+%28+%28+3+%2B+i+%29%2A%28+3+-+i+%29+%29+ ALIGN=MIDDLE  ALT=\"+%28+-1%2A%28+3+-+i+%29+%29+%2F+%28+%28+3+%2B+i+%29%2A%28+3+-+i+%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+-1%2A%28+3+-+i+%29+%29+%2F+%28++9+%2B+3i+-+3i+-+i%5E2+%29+ ALIGN=MIDDLE  ALT=\"+%28+-1%2A%28+3+-+i+%29+%29+%2F+%28++9+%2B+3i+-+3i+-+i%5E2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+-3+%2B+i+%29+%2F+%28+9+-%28-1%29+%29+ ALIGN=MIDDLE  ALT=\"+%28+-3+%2B+i+%29+%2F+%28+9+-%28-1%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+-3+%2B+i+%29+%2F+10+ ALIGN=MIDDLE  ALT=\"+%28+-3+%2B+i+%29+%2F+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+i%5E2+=+-1+ ALIGN=MIDDLE  ALT=\"+i%5E2+=+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-i%5E2+=+%2B1+ ALIGN=MIDDLE  ALT=\"+-i%5E2+=+%2B1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );