document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=396143>Question 396143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rationalize the denominator.  Assume that all expressions under radicals represent positive numbers.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28r%29-sqrt%28s%29%29%2F%28sqrt%28r%29%2Bsqrt%28s%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%28r%29-sqrt%28s%29%29%2F%28sqrt%28r%29%2Bsqrt%28s%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(Simplify your answer.  Type an exact answer, using 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 #281089 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=281089\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rationalize the denominator.  Assume that all expressions under radicals represent positive numbers.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28r%29-sqrt%28s%29%29%2F%28sqrt%28r%29%2Bsqrt%28s%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%28r%29-sqrt%28s%29%29%2F%28sqrt%28r%29%2Bsqrt%28s%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(Simplify your answer.  Type an exact answer, using radicals as needed.)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28r%29-sqrt%28s%29%29%2F%28sqrt%28r%29%2Bsqrt%28s%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%28r%29-sqrt%28s%29%29%2F%28sqrt%28r%29%2Bsqrt%28s%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "need square roots in denominator to go away,<BR>\n" );
document.write( "using conjugate of sqrt(r) + sqrt(s) which is sqrt(r) - sqrt(s)<BR>\n" );
document.write( "to multiply numerator and denominator by<BR>\n" );
document.write( "use FOIL (First Outer Inner Last) when multiplying<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28r%29-sqrt%28s%29%29%28sqrt%28r%29-sqrt%28s%29%29%2F%28sqrt%28r%29%2Bsqrt%28s%29%29%28sqrt%28r%29-sqrt%28s%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28r%29-sqrt%28s%29%29%5E2%2F%28r+-+s%29 ALIGN=MIDDLE  ALT=\"%28sqrt%28r%29-sqrt%28s%29%29%5E2%2F%28r+-+s%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r+-+2sqrt%28r%29sqrt%28s%29+%2B+s%29%2F%28r+-+s%29 ALIGN=MIDDLE  ALT=\"%28r+-+2sqrt%28r%29sqrt%28s%29+%2B+s%29%2F%28r+-+s%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "           </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );