document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173280>Question 173280</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I really messed up posting this the last time so I will try again please bare with me 4/(root(3,5x^2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #128114 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=128114\">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=4%2F%28root%283%2C5x%5E2%29%29 ALIGN=MIDDLE  ALT=\"4%2F%28root%283%2C5x%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2Aroot%283%2C5x%5E2%29root%283%2C5x%5E2%29%29%2F%28root%283%2C5x%5E2%29root%283%2C5x%5E2%29root%283%2C5x%5E2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C5x%5E2%29%2Froot%283%2C5x%5E2%29 ALIGN=MIDDLE  ALT=\"root%283%2C5x%5E2%29%2Froot%283%2C5x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > twice (to get a total of 3 copies of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C5x%5E2%29 ALIGN=MIDDLE  ALT=\"root%283%2C5x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the denominator)\r<BR>\n" );
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document.write( "Now notice how <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C5x%5E2%29root%283%2C5x%5E2%29root%283%2C5x%5E2%29=root%283%2C%285x%5E2%29%285x%5E2%29%285x%5E2%29%29=root%283%2C%285x%5E2%29%5E3%29=5x%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "So let's replace the denominator with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2 ALIGN=MIDDLE  ALT=\"5x%5E2\"   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=%284%2Aroot%283%2C5x%5E2%29root%283%2C5x%5E2%29%29%2F%285x%5E2%29 ALIGN=MIDDLE  ALT=\"%284%2Aroot%283%2C5x%5E2%29root%283%2C5x%5E2%29%29%2F%285x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Now multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Aroot%283%2C5x%5E2%29root%283%2C5x%5E2%29 ALIGN=MIDDLE  ALT=\"4%2Aroot%283%2C5x%5E2%29root%283%2C5x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > out to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Aroot%283%2C5x%5E2%29root%283%2C5x%5E2%29=4%2Aroot%283%2C%285x%5E2%29%5E2%29=4%2Aroot%283%2C25x%5E4%29=4x%2Aroot%283%2C25x%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So replace the the numerator with\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%2Aroot%283%2C25x%29%29%2F%285x%5E2%29 ALIGN=MIDDLE  ALT=\"%284x%2Aroot%283%2C25x%29%29%2F%285x%5E2%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=%284%2Aroot%283%2C25x%29%29%2F%285x%29 ALIGN=MIDDLE  ALT=\"%284%2Aroot%283%2C25x%29%29%2F%285x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%29%2F%285x%5E2%29 ALIGN=MIDDLE  ALT=\"%284x%29%2F%285x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%285x%29 ALIGN=MIDDLE  ALT=\"4%2F%285x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28root%283%2C5x%5E2%29%29 ALIGN=MIDDLE  ALT=\"4%2F%28root%283%2C5x%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2Aroot%283%2C25x%29%29%2F%285x%29 ALIGN=MIDDLE  ALT=\"%284%2Aroot%283%2C25x%29%29%2F%285x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28root%283%2C5x%5E2%29%29=%284%2Aroot%283%2C25x%29%29%2F%285x%29 ALIGN=MIDDLE  ALT=\"4%2F%28root%283%2C5x%5E2%29%29=%284%2Aroot%283%2C25x%29%29%2F%285x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E0 ALIGN=MIDDLE  ALT=\"x%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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