document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=6558>Question 6558</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the conjugate of <BR>\n" );
document.write( "sqare_root(2)-square_root(3) is:<BR>\n" );
document.write( "square_root(2)+square_root(3). <BR>\n" );
document.write( "But can it be:<BR>\n" );
document.write( "-sqare_root(2)-square_root(3)?\r<BR>\n" );
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document.write( "please note that even if they are not complex numbers ,<BR>\n" );
document.write( "they are surds.<BR>\n" );
document.write( "For surds conjugate of 2-square_root(3) is 2+square_root(3),<BR>\n" );
document.write( "so why not -2-square_root(3)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #3554 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=3554\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i have looked on the web and not found much at all, however one pdf had an example where it multiplied by a \"surd conjugate\". Looking into this, it looks like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Bsqrt%28y%29 ALIGN=MIDDLE  ALT=\"x%2Bsqrt%28y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > has the conjugate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-sqrt%28y%29 ALIGN=MIDDLE  ALT=\"x-sqrt%28y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. As for why...that is the definition of the conjugate. Simple as that.\r<BR>\n" );
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document.write( "As for the reason behind using a conjugate...it removes any irrational/surd parts, since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Bsqrt%28y%29%29%28x%2Bsqrt%28y%29%29 ALIGN=MIDDLE  ALT=\"%28x%2Bsqrt%28y%29%29%28x%2Bsqrt%28y%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+x%2Asqrt%28y%29+%2B+x%2Asqrt%28y%29+-+y ALIGN=MIDDLE  ALT=\"x%5E2+-+x%2Asqrt%28y%29+%2B+x%2Asqrt%28y%29+-+y\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+y ALIGN=MIDDLE  ALT=\"x%5E2+-+y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Jon. </SPAN>\n" );
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