document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=851430>Question 851430</A>: <I><SPAN STYLE=\"word-break: break-all;\"> -sqrt(18)/sqrt(12)<BR>\n" );
document.write( "The answer is -sqrt(6)/2\r<BR>\n" );
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document.write( "I am having beyond complications solving this problem.  I have the answer, but I need help on how to actually solve it. Thanks!\r<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 #512753 by </B><A HREF=/tutors/aboutme.mpl?userid=josh_jordan><B>josh_jordan(263)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josh_jordan><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=josh_jordan><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=512753\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello.  Here is how you would solve your problem.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%2818%29%2Fsqrt%2812%29 ALIGN=MIDDLE  ALT=\"-sqrt%2818%29%2Fsqrt%2812%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "First, simplify the radicals in the numerator and denominator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%2818%29 ALIGN=MIDDLE  ALT=\"-sqrt%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be reduced to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"-3%2Asqrt%282%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%2812%29 ALIGN=MIDDLE  ALT=\"sqrt%2812%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be reduced to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"2%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, you are left with:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3%2Asqrt%282%29%29%2F%282%2Asqrt%283%29%29 ALIGN=MIDDLE  ALT=\"%28-3%2Asqrt%282%29%29%2F%282%2Asqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You now have to rationalize the denominator, since you cannot have an irrational number, such as a root, in the denominator of a fraction.  To do this, we can multiply both the numerator and denominator by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This will eliminate the root from the denominator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3%2Asqrt%282%29%2Asqrt%283%29%29%2F%282%2Asqrt%283%29%2Asqrt%283%29%29 ALIGN=MIDDLE  ALT=\"%28-3%2Asqrt%282%29%2Asqrt%283%29%29%2F%282%2Asqrt%283%29%2Asqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This gives us:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3%2Asqrt%286%29%29%2F%282%2A3%29 ALIGN=MIDDLE  ALT=\"%28-3%2Asqrt%286%29%29%2F%282%2A3%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=%28-3%2Asqrt%286%29%29%2F6 ALIGN=MIDDLE  ALT=\"%28-3%2Asqrt%286%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Finally, we can reduce the fraction down, since both the numerator and denominator of the fraction are divisible by 3.  This gives us the final answer of:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%286%29%2F2 ALIGN=MIDDLE  ALT=\"-sqrt%286%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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