document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=195531>Question 195531</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ( sqrt 5 - sqrt7)^2\r<BR>\n" );
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document.write( "answer:12 - 2 sqrt 35\r<BR>\n" );
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document.write( "ok so i tried the  foil method  and i got sqrt 5  sqrt7 as my answer can anyone tell me how my book got 12-2 sqrt 35 as an answer  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #146646 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=146646\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%285%29-sqrt%287%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%285%29-sqrt%287%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%285%29-sqrt%287%29%29%28sqrt%285%29-sqrt%287%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%285%29-sqrt%287%29%29%28sqrt%285%29-sqrt%287%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Expand. Remember something like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=x%2Ax ALIGN=MIDDLE  ALT=\"x%5E2=x%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Now let's FOIL the expression.\r<BR>\n" );
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document.write( "Remember, when you FOIL an expression, you follow this procedure:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%28sqrt%285%29%29-sqrt%287%29%29%28highlight%28sqrt%285%29%29-sqrt%287%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%28sqrt%285%29%29-sqrt%287%29%29%28highlight%28sqrt%285%29%29-sqrt%287%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">F</font>irst terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%285%29%29%2A%28sqrt%285%29%29=sqrt%285%2A5%29=sqrt%2825%29=5 ALIGN=MIDDLE  ALT=\"%28sqrt%285%29%29%2A%28sqrt%285%29%29=sqrt%285%2A5%29=sqrt%2825%29=5\"   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=%28highlight%28sqrt%285%29%29-sqrt%287%29%29%28sqrt%285%29%2Bhighlight%28-sqrt%287%29%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%28sqrt%285%29%29-sqrt%287%29%29%28sqrt%285%29%2Bhighlight%28-sqrt%287%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">O</font>uter terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%285%29%29%2A%28-sqrt%287%29%29=-sqrt%285%2A7%29=-sqrt%2835%29 ALIGN=MIDDLE  ALT=\"%28sqrt%285%29%29%2A%28-sqrt%287%29%29=-sqrt%285%2A7%29=-sqrt%2835%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=%28sqrt%285%29%2Bhighlight%28-sqrt%287%29%29%29%28highlight%28sqrt%285%29%29-sqrt%287%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%285%29%2Bhighlight%28-sqrt%287%29%29%29%28highlight%28sqrt%285%29%29-sqrt%287%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">I</font>nner terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-sqrt%287%29%29%2A%28sqrt%285%29%29=-sqrt%287%2A5%29=-sqrt%2835%29 ALIGN=MIDDLE  ALT=\"%28-sqrt%287%29%29%2A%28sqrt%285%29%29=-sqrt%287%2A5%29=-sqrt%2835%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=%28sqrt%285%29%2Bhighlight%28-sqrt%287%29%29%29%28sqrt%285%29%2Bhighlight%28-sqrt%287%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">L</font>ast terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-sqrt%287%29%29%2A%28-sqrt%287%29%29=sqrt%287%2A7%29=sqrt%2849%29=7 ALIGN=MIDDLE  ALT=\"%28-sqrt%287%29%29%2A%28-sqrt%287%29%29=sqrt%287%2A7%29=sqrt%2849%29=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "---------------------------------------------------\r<BR>\n" );
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document.write( "So we have the terms: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%2835%29 ALIGN=MIDDLE  ALT=\"-sqrt%2835%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%2835%29 ALIGN=MIDDLE  ALT=\"-sqrt%2835%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   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=5-sqrt%2835%29-sqrt%2835%29%2B7 ALIGN=MIDDLE  ALT=\"5-sqrt%2835%29-sqrt%2835%29%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now add every term listed above to make a single expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12-2%2Asqrt%2835%29 ALIGN=MIDDLE  ALT=\"12-2%2Asqrt%2835%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now combine like terms.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%285%29-sqrt%287%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%285%29-sqrt%287%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOILs to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12-2%2Asqrt%2835%29 ALIGN=MIDDLE  ALT=\"12-2%2Asqrt%2835%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%285%29-sqrt%287%29%29%5E2=12-2%2Asqrt%2835%29 ALIGN=MIDDLE  ALT=\"%28sqrt%285%29-sqrt%287%29%29%5E2=12-2%2Asqrt%2835%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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