document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=139600>Question 139600</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rationalize:  square root of \"a\" divided by the square root of \"a\" - 2<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 #101790 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=101790\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Not sure whether you mean <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28a%29%2F%28sqrt%28a%29-2%29 ALIGN=MIDDLE  ALT=\"sqrt%28a%29%2F%28sqrt%28a%29-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28a%29%2F%28sqrt%28a-2%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28a%29%2F%28sqrt%28a-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Either way, 'rationalize' means 'rationalize the denominator' and that means 'get that nasty radical out of my denominator'\r<BR>\n" );
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document.write( "You need to multiply the denominator by its conjugate, namely <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28a%29%2B2 ALIGN=MIDDLE  ALT=\"sqrt%28a%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, therefore you need to multiply the entire fraction by 1 in the form of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28a%29%2B2%29%2F%28sqrt%28a%29%2B2%29 ALIGN=MIDDLE  ALT=\"%28sqrt%28a%29%2B2%29%2F%28sqrt%28a%29%2B2%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=%28sqrt%28a%29%2F%28sqrt%28a%29-2%29%29%28%28sqrt%28a%29%2B2%29%2F%28sqrt%28a%29%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%28a%29%2F%28sqrt%28a%29-2%29%29%28%28sqrt%28a%29%2B2%29%2F%28sqrt%28a%29%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The denominator becomes the difference of two squares, and you just distribute for the numerator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-2sqrt%28a%29%29%2F%28a-4%29 ALIGN=MIDDLE  ALT=\"%28a-2sqrt%28a%29%29%2F%28a-4%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=sqrt%28a%29%2F%28sqrt%28a-2%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28a%29%2F%28sqrt%28a-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Again, you need to multiply by 1, this time in the form of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28a-2%29%2Fsqrt%28a-2%29 ALIGN=MIDDLE  ALT=\"sqrt%28a-2%29%2Fsqrt%28a-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28a%29%2F%28sqrt%28a-2%29%29%29%28sqrt%28a-2%29%2Fsqrt%28a-2%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%28a%29%2F%28sqrt%28a-2%29%29%29%28sqrt%28a-2%29%2Fsqrt%28a-2%29%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=%28sqrt%28a%29sqrt%28a-2%29%29%2F%28a-2%29 ALIGN=MIDDLE  ALT=\"%28sqrt%28a%29sqrt%28a-2%29%29%2F%28a-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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