document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=7612>Question 7612</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I would really appreciate it if someone could solve and explain this problem for me-<BR>\n" );
document.write( "             reduce to a radical having integral radicands.<BR>\n" );
document.write( "                 radical sign then 1/2\r<BR>\n" );
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document.write( "                     - Thanks so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #4190 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=4190\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> for some reason, mathematiciansdo not like square roots on a denominator. Why? God knows.\r<BR>\n" );
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document.write( "Anyway, we therefore need to \"rationalise the denominator\". We do this, in this sort of simple case, by multiplying by 1 (but written as a fraction)...as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281%2F2%29 ALIGN=MIDDLE  ALT=\"sqrt%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281%29%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%281%29%2Fsqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"1%2Fsqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> now multiply by \"1\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fsqrt%282%29%29%2A1 ALIGN=MIDDLE  ALT=\"%281%2Fsqrt%282%29%29%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> but written as the second fraction<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fsqrt%282%29%29%2A%28sqrt%282%29%2Fsqrt%282%29%29 ALIGN=MIDDLE  ALT=\"%281%2Fsqrt%282%29%29%2A%28sqrt%282%29%2Fsqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%2F%28sqrt%282%29%2Asqrt%282%29%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29%2F%28sqrt%282%29%2Asqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"sqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "done.\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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