document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=984309>Question 984309</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me simplify this expression:<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #605109 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=605109\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "This is not an equation; there is no equals sign.  It is an expression.  I took the liberty of correcting the terminology in your question.\r<BR>\n" );
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document.write( "I'm going to assume you know how to rationalize your denominator when you have a binomial expression by multiplying numerator and denominator by the conjugate of the denominator.  Here you just have to expand your definition of conjugate:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{1}{1\ -\ \sqrt{2}\ +\ \sqrt{3}}\left(\frac{1\ +\ \sqrt{2}\ -\ \sqrt{3}}{1\ +\ \sqrt{2}\ -\ \sqrt{3}}\right)\">\r<BR>\n" );
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document.write( "The result of the above operation is a fraction with an irrational binomial in the denominator.  Just multiply by the conjugate again and simplify.  Write back with your answer and I'll check it for you.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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