document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199170>Question 1199170</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify and rationalize the expression giving your answer in the forma+b√c, where a, b and c are constants<BR>\n" );
document.write( "11/(7-√3)-5/(7+√3)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832903 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=832903\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Simplify and rationalize the expression giving your answer in the forma+b√c, where a, b and c are constants<BR>\n" );
document.write( "11/(7-√3)-5/(7+√3)<BR>\n" );
document.write( "Assume it is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F%28%287-sqrt%283%29%29%29 ALIGN=MIDDLE  ALT=\"11%2F%28%287-sqrt%283%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%28%287%2Bsqrt%283%29%29%29 ALIGN=MIDDLE  ALT=\"5%2F%28%287%2Bsqrt%283%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "find the common denominator; FOIL (7-sqrt(3))*(7+sqrt(3))<BR>\n" );
document.write( "middle terms cancel so we have 49-3 = 46 is the common denominator<BR>\n" );
document.write( "so we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2811%287%2Bsqrt%283%29%29+-+5%287-sqrt%283%29%29%29%2F46 ALIGN=MIDDLE  ALT=\"%2811%287%2Bsqrt%283%29%29+-+5%287-sqrt%283%29%29%29%2F46\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2877%2B+11sqrt%283%29+-+35+%2B+5sqrt%283%29%29%2F46 ALIGN=MIDDLE  ALT=\"%2877%2B+11sqrt%283%29+-+35+%2B+5sqrt%283%29%29%2F46\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "combine like terms, reduce the fraction<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2842+%2B+16sqrt%283%29%29%2F46 ALIGN=MIDDLE  ALT=\"%2842+%2B+16sqrt%283%29%29%2F46\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2821+%2B+8sqrt%283%29%29%2F23 ALIGN=MIDDLE  ALT=\"%2821+%2B+8sqrt%283%29%29%2F23\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );