document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1001489>Question 1001489</A>: <I><SPAN STYLE=\"word-break: break-all;\">  plz give this soluation...<BR>\n" );
document.write( "if &#8730;( x+(1/x)) is a irrational number then how can i prove that?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #618693 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=618693\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I just posted one possibility...\r<BR>\n" );
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document.write( "Prove <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x+%2B+%281%2Fx%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28x+%2B+%281%2Fx%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is irrational.<BR>\n" );
document.write( "If the radicand is not a perfect square, then the root must be irrational.<BR>\n" );
document.write( "We can rewrite the radicand as<BR>\n" );
document.write( "x + 1/x = (x+1)/x<BR>\n" );
document.write( "The only way (x+1)/x can be a perfect square is if x+1 and x are both perfect squares...<BR>\n" );
document.write( "If x is a perfect square, then x+1 cannot be.<BR>\n" );
document.write( "If x+1 is a perfect square, then x cannot be.<BR>\n" );
document.write( "Thus <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x+%2B+%281%2Fx%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28x+%2B+%281%2Fx%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is irrational.<BR>\n" );
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