document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=704657>Question 704657</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The problem asks to simplify and express this expression in a+bi form:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7+sqrt%28+-75+%29-2+sqrt%28+-147+%29-3i%5E50%2B6i%5E692+ ALIGN=MIDDLE  ALT=\"+7+sqrt%28+-75+%29-2+sqrt%28+-147+%29-3i%5E50%2B6i%5E692+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I know that i^50 equals one and i^692 equals i so I got the problem down to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7+sqrt%28+-75+%29-2+sqrt%28+-147+%29-3%2B6i+ ALIGN=MIDDLE  ALT=\"+7+sqrt%28+-75+%29-2+sqrt%28+-147+%29-3%2B6i+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "but I don't know what to do next. Thank you for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #434215 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=434215\">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=+7+sqrt%28+-75+%29-2+sqrt%28+-147+%29-3i%5E50%2B6i%5E692+ ALIGN=MIDDLE  ALT=\"+7+sqrt%28+-75+%29-2+sqrt%28+-147+%29-3i%5E50%2B6i%5E692+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E50+=-1 ALIGN=MIDDLE  ALT=\"i%5E50+=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E692=1 ALIGN=MIDDLE  ALT=\"i%5E692=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2A5%2Asqrt%28-3%29+-2%2A7%2Asqrt%28-3%29-3%28-1%29%2B6%2A%281%29 ALIGN=MIDDLE  ALT=\"7%2A5%2Asqrt%28-3%29+-2%2A7%2Asqrt%28-3%29-3%28-1%29%2B6%2A%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2Asqrt%28-3%29i%2B9 ALIGN=MIDDLE  ALT=\"21%2Asqrt%28-3%29i%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "36.3730669589i +9 </SPAN>\n" );
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