document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=323184>Question 323184</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rationalize the denominator. Assume that all expressions under radicals represent positive numbers.\r<BR>\n" );
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document.write( " SQRT of x - SQRT of y / SQRT of x + SQRT of y\r<BR>\n" );
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document.write( "Simplify and use radicals as needed </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #231346 by </B><A HREF=/tutors/aboutme.mpl?userid=QH><B>QH(50)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=QH><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=QH><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=231346\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To rationalize a denominator you need to remove the radical.  When your denominator has more than one term, you multiply the numerator and denominator by the conjugate (opposite) of the denominator.  Meaning if your denominator is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29%2Bsqrt%28y%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29%2Bsqrt%28y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > the conjugate would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29-sqrt%28y%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29-sqrt%28y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28x%29-sqrt%28y%29%29%2F%28sqrt%28x%29%2Bsqrt%28y%29%29%2A%28sqrt%28x%29-sqrt%28y%29%29%2F%28sqrt%28x%29-sqrt%28y%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply by FOIL both the numerator and denominator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28sqrt%28x%29%29%5E2-sqrt%28xy%29-sqrt%28xy%29%2B%28sqrt%28y%29%29%5E2%29%2F%28%28sqrt%28x%29%29%5E2-%28sqrt%28y%29%29%5E2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2sqrt%28xy%29%2Bx%29%2F%28x-y%29 ALIGN=MIDDLE  ALT=\"%28x-2sqrt%28xy%29%2Bx%29%2F%28x-y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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