document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=791483>Question 791483</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I tried to do 1/( (SQRT2)-3)<BR>\n" );
document.write( "I multiplyed the numerator and the denominator by -3-(SQRT2) and I got <BR>\n" );
document.write( "-3-(SQRT2)/-14 but my teacher said it was wrong. What did I do wrong?<BR>\n" );
document.write( "Please help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #479592 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=479592\">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( "You selected a mathematically correct form of the conjugate of the denominator to form your multiplier, but then you must have done the arithmetic incorrectly because <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (\sqrt{2}\ -\ 3)(-3\ -\ \sqrt{2})\ =\ -3\sqrt{2}\ -\ 2\ +\ 9\ +\ \sqrt{2}\ =\ 7\"> for your denominator calculation.\r<BR>\n" );
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document.write( "Personally, I would have created the conjugate by simply changing the sign on the second term of the binomial.  My \"times 1\" multiplier would have been <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{\sqrt{2}\ +\ 3}{\sqrt{2}\ +\ 3}\">.  My final answer would have come out to be:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \frac{\sqrt{2}\ +\ 3}{-7}\">\r<BR>\n" );
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document.write( "which is equivalent to the answer you would have had given correct arithmetic.  Go back and recheck your calculations.\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<BR>\n" );
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