document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=938692>Question 938692</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi? Can you help me solve this question? Seems really simple but it is not....\r<BR>\n" );
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document.write( "\" Given that 2744 dived by N \" IS a perfect square, find the value(s) of N. \r<BR>\n" );
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document.write( "OH no!! What should I do?! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #571873 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=571873\">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=2744%2FN ALIGN=MIDDLE  ALT=\"2744%2FN\"   DISABLED_style= \"max-width:90%; height:auto;\" > = perfect square<BR>\n" );
document.write( "There must be at least one n such that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2744%2FN ALIGN=MIDDLE  ALT=\"2744%2FN\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2 ALIGN=MIDDLE  ALT=\"n%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > for the first statement to be true<BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2744%2FN ALIGN=MIDDLE  ALT=\"2744%2FN\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2%2F1 ALIGN=MIDDLE  ALT=\"n%5E2%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Using cross products,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2An%5E2 ALIGN=MIDDLE  ALT=\"N%2An%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2744 and<BR>\n" );
document.write( "N = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2744%2Fn%5E2 ALIGN=MIDDLE  ALT=\"2744%2Fn%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factoring 2744 gives us 2*19*73<BR>\n" );
document.write( "For N to be an integer ( required to be a perfect square ) ,<BR>\n" );
document.write( "n^2 must divide into 2*19*73 without remainder.<BR>\n" );
document.write( "For this to be true, there need to be at least two duplicate<BR>\n" );
document.write( "integers in the numerator.<BR>\n" );
document.write( "This means that there does not exist an integer N<BR>\n" );
document.write( "such that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2744%2FN ALIGN=MIDDLE  ALT=\"2744%2FN\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a perfect square.<BR>\n" );
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