document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188729>Question 188729</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1602773033/algebrahomeworkh>saxon algebra 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 4over square root 5 +square root 3<BR>\n" );
document.write( "I worked it to 4(square root 5 -square root 3) over 2<BR>\n" );
document.write( "Does this work out to 2(square root5-square root 3)?<BR>\n" );
document.write( "Am I on the right track? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #141535 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=141535\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the expression is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28sqrt%285%29%2Bsqrt%283%29%29 ALIGN=MIDDLE  ALT=\"4%2F%28sqrt%285%29%2Bsqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28sqrt%285%29%2Bsqrt%283%29%29+=+2%2A%28sqrt%285%29-sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"4%2F%28sqrt%285%29%2Bsqrt%283%29%29+=+2%2A%28sqrt%285%29-sqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you're correct. Good job.\r<BR>\n" );
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document.write( "You can simplify the expression by distributing to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%285%29-2%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"2%2Asqrt%285%29-2%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but that's trivial.\r<BR>\n" );
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document.write( "Note:  Using a calculator, we can find that\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{4}{\sqrt{5}+\sqrt{3}} \approx 1.00803433986182\">\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2\left(\sqrt{5}-\sqrt{3}\right) \approx 1.00803433986182\">\r<BR>\n" );
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document.write( "So this shows us that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{4}{\sqrt{5}+\sqrt{3}}=2\left(\sqrt{5}-\sqrt{3}\right)\"> </SPAN>\n" );
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