document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132680>Question 132680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rationalize the denominator:<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 #96998 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=96998\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%29%2F%28sqrt%282%29%2Bsqrt%283%29%29 ALIGN=MIDDLE  ALT=\"%282%29%2F%28sqrt%282%29%2Bsqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%29%2F%28sqrt%282%29%2Bsqrt%283%29%29%29%28%28sqrt%282%29-sqrt%283%29%29%2F%28sqrt%282%29-sqrt%283%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply by the fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%282%29-sqrt%283%29%29%2F%28sqrt%282%29-sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%282%29-sqrt%283%29%29%2F%28sqrt%282%29-sqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Note  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29-sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29-sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the conjugate of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%2Bsqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29%2Bsqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%29%28sqrt%282%29-sqrt%283%29%29%29%2F%28%28sqrt%282%29%2Bsqrt%283%29%29%28sqrt%282%29-sqrt%283%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%29%28sqrt%282%29-sqrt%283%29%29%29%2F%28sqrt%282%29%2Asqrt%282%29%2Bsqrt%282%29%2Asqrt%283%29-sqrt%283%29%2Asqrt%282%29%2Bsqrt%283%29%2Asqrt%283%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Foil the denominator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%29%28sqrt%282%29-sqrt%283%29%29%29%2F%28sqrt%282%29%2Asqrt%282%29%2Bsqrt%283%29%2Asqrt%283%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%29%28sqrt%282%29-sqrt%283%29%29%29%2F%282-3%29 ALIGN=MIDDLE  ALT=\"%28%282%29%28sqrt%282%29-sqrt%283%29%29%29%2F%282-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%29%28sqrt%282%29-sqrt%283%29%29%29%2F%28-1%29 ALIGN=MIDDLE  ALT=\"%28%282%29%28sqrt%282%29-sqrt%283%29%29%29%2F%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%28sqrt%282%29-sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"-2%28sqrt%282%29-sqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide and simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2sqrt%282%29%2B2sqrt%283%29 ALIGN=MIDDLE  ALT=\"-2sqrt%282%29%2B2sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%29%2F%28sqrt%282%29%2Bsqrt%283%29%29 ALIGN=MIDDLE  ALT=\"%282%29%2F%28sqrt%282%29%2Bsqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2sqrt%282%29%2B2sqrt%283%29 ALIGN=MIDDLE  ALT=\"-2sqrt%282%29%2B2sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%29%2F%28sqrt%282%29%2Bsqrt%283%29%29=-2sqrt%282%29%2B2sqrt%283%29 ALIGN=MIDDLE  ALT=\"%282%29%2F%28sqrt%282%29%2Bsqrt%283%29%29=-2sqrt%282%29%2B2sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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