document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1106845>Question 1106845</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rationalize the following quotient:\r<BR>\n" );
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document.write( "(sqrt(13)-6)/(sqrt(13)+6) = A + B*sqrt(C)\r<BR>\n" );
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document.write( "where A=? , B=? , and C=?\r<BR>\n" );
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document.write( "(A and B are rational numbers, C is an integer, and the square root has been simplified)\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #721825 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=721825\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> multiply numerator and denominator by conjugate of denominator, sqrt(13)-6<BR>\n" );
document.write( "the numerator becomes [sqrt(13)-6]^2, and the denominator becomes 13-36<BR>\n" );
document.write( "the numerator may be expanded to become 13+36-12 sqrt(13)<BR>\n" );
document.write( "the whole fraction is -(49/23)-12(sqrt(13)<BR>\n" );
document.write( "A is -(49/23), B is -12 and C is 13 </SPAN>\n" );
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