document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=982481>Question 982481</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me answer this, Thank you so much! <BR>\n" );
document.write( "If x= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%287%29%2Bsqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%287%29%2Bsqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >/<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%287%29-sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%287%29-sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and y=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%287%29-sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%287%29-sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >/<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%287%29%2Bsqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%287%29%2Bsqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "then evaluate the following questions:<BR>\n" );
document.write( "1) y/x+x/y <BR>\n" );
document.write( "2) x^2/y+y^2/x <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 #603310 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39621)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=603310\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%287%29%2Bsqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%287%29%2Bsqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >/<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%287%29-sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%287%29-sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and y=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%287%29-sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%287%29-sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >/<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%287%29%2Bsqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%287%29%2Bsqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "What? Maybe this instead?<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28sqrt%287%29%2Bsqrt%283%29%29%2F%28sqrt%287%29-sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"x=%28sqrt%287%29%2Bsqrt%283%29%29%2F%28sqrt%287%29-sqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28sqrt%287%29-sqrt%283%29%29%2F%28sqrt%287%29%2Bsqrt%283%29%29 ALIGN=MIDDLE  ALT=\"y=%28sqrt%287%29-sqrt%283%29%29%2F%28sqrt%287%29%2Bsqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using them, find what happens if substitute for question (1).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2Fx%2Bx%2Fy ALIGN=MIDDLE  ALT=\"y%2Fx%2Bx%2Fy\"   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%28sqrt%287%29-sqrt%283%29%29%2F%28sqrt%287%29%2Bsqrt%283%29%29%29%2F%28%28sqrt%287%29%2Bsqrt%283%29%29%2F%28sqrt%287%29-sqrt%283%29%29%29%2B%28%28sqrt%287%29%2Bsqrt%283%29%29%2F%28sqrt%287%29-sqrt%283%29%29%29%2F%28%28sqrt%287%29-sqrt%283%29%29%2F%28sqrt%287%29%2Bsqrt%283%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The next two steps are difficult to give through the keyboard and text and I omit them here; involving \"invert and multiply\" for the complex fractions and of multiplying binomials;\r<BR>\n" );
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document.write( "but then you can show the step\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810-2sqrt%2821%29%29%2F%2810%2B2sqrt%2821%29%29%2B%2810%2B2sqrt%2821%29%29%2F%2810-2sqrt%2821%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >, which is reducible\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285-sqrt%2821%29%29%2F%285%2Bsqrt%2821%29%29%2B%285%2Bsqrt%2821%29%29%2F%285-sqrt%2821%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next, the process of rationalizing the denominators will also act to raise each rational expression to higher terms having the common denominator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%285-sqrt%2821%29%29%2F%285%2Bsqrt%2821%29%29%29%28%28%285-sqrt%2821%29%29%2F%285-sqrt%2821%29%29%29%29%2B%28%285%2Bsqrt%2821%29%29%2F%285-sqrt%2821%29%29%29%28%28%285%2Bsqrt%2821%29%29%2F%285%2Bsqrt%2821%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >, and you have the result causing Difference of Squares for the denominators.  (NOTE that this step is now  fixed...)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825-10sqrt%2821%29%2B21%29%2F%2825-21%29%2B%2825%2B10sqrt%2821%29%2B21%29%2F%2825-21%29 ALIGN=MIDDLE  ALT=\"%2825-10sqrt%2821%29%2B21%29%2F%2825-21%29%2B%2825%2B10sqrt%2821%29%2B21%29%2F%2825-21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The rest of the arithmetic steps should be expected without overly-strategizing.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2850%2B42%29%2F4 ALIGN=MIDDLE  ALT=\"%2850%2B42%29%2F4\"   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=92%2F4 ALIGN=MIDDLE  ALT=\"92%2F4\"   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=highlight%28highlight%2823%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%2823%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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