document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126405>Question 126405</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28root%285%2C4%29-root%285%2C2%29%29%28root%285%2C125%29%2Broot%285%2C8%29%29 ALIGN=MIDDLE  ALT=\"%28root%285%2C4%29-root%285%2C2%29%29%28root%285%2C125%29%2Broot%285%2C8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92608 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=92608\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28root%285%2C4%29-root%285%2C2%29%29%28root%285%2C125%29%2Broot%285%2C8%29%29 ALIGN=MIDDLE  ALT=\"%28root%285%2C4%29-root%285%2C2%29%29%28root%285%2C125%29%2Broot%285%2C8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now let's FOIL the expression\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Remember, when you FOIL an expression, you follow this procedure:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%28root%285%2C4%29%29-root%285%2C2%29%29%28highlight%28root%285%2C125%29%29%2Broot%285%2C8%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the First terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28root%285%2C4%29%29%2A%28root%285%2C125%29%29=root%285%2C4%2A125%29=root%285%2C500%29 ALIGN=MIDDLE  ALT=\"%28root%285%2C4%29%29%2A%28root%285%2C125%29%29=root%285%2C4%2A125%29=root%285%2C500%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%28root%285%2C4%29%29-root%285%2C2%29%29%28root%285%2C125%29%2Bhighlight%28root%285%2C8%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the Outer terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28root%285%2C4%29%29%2A%28root%285%2C8%29%29=root%285%2C4%2A8%29=root%285%2C32%29 ALIGN=MIDDLE  ALT=\"%28root%285%2C4%29%29%2A%28root%285%2C8%29%29=root%285%2C4%2A8%29=root%285%2C32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now simplify <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%285%2C32%29 ALIGN=MIDDLE  ALT=\"root%285%2C32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get 2. In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%285%2C32%29=2 ALIGN=MIDDLE  ALT=\"root%285%2C32%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28root%285%2C4%29%2Bhighlight%28-root%285%2C2%29%29%29%28highlight%28root%285%2C125%29%29%2Broot%285%2C8%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the Inner terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-root%285%2C2%29%29%2A%28root%285%2C125%29%29=-root%285%2C2%2A125%29=-root%285%2C250%29 ALIGN=MIDDLE  ALT=\"%28-root%285%2C2%29%29%2A%28root%285%2C125%29%29=-root%285%2C2%2A125%29=-root%285%2C250%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28root%285%2C4%29%2Bhighlight%28-root%285%2C2%29%29%29%28root%285%2C125%29%2Bhighlight%28root%285%2C8%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the Last terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-root%285%2C2%29%29%2A%28root%285%2C8%29%29=-root%285%2C2%2A8%29=-root%285%2C16%29 ALIGN=MIDDLE  ALT=\"%28-root%285%2C2%29%29%2A%28root%285%2C8%29%29=-root%285%2C2%2A8%29=-root%285%2C16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%285%2C500%29%2B2-root%285%2C250%29-root%285%2C16%29 ALIGN=MIDDLE  ALT=\"root%285%2C500%29%2B2-root%285%2C250%29-root%285%2C16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now collect every term to make a single expression\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "---------------------\r<BR>\n" );
document.write( "\n" );
document.write( "Answer:\r<BR>\n" );
document.write( "\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28root%285%2C4%29-root%285%2C2%29%29%28root%285%2C125%29%2Broot%285%2C8%29%29 ALIGN=MIDDLE  ALT=\"%28root%285%2C4%29-root%285%2C2%29%29%28root%285%2C125%29%2Broot%285%2C8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > foils and simplifies to  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%285%2C500%29%2B2-root%285%2C250%29-root%285%2C16%29 ALIGN=MIDDLE  ALT=\"root%285%2C500%29%2B2-root%285%2C250%29-root%285%2C16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28root%285%2C4%29-root%285%2C2%29%29%28root%285%2C125%29%2Broot%285%2C8%29%29=root%285%2C500%29%2B2-root%285%2C250%29-root%285%2C16%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );