document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=171553>Question 171553</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Multiply, then simplify the product.\r<BR>\n" );
document.write( "\n" );
document.write( "(3+square root2) to the power of 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #126710 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=126710\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Bsqrt%282%29%29%5E2 ALIGN=MIDDLE  ALT=\"%283%2Bsqrt%282%29%29%5E2\"   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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Bsqrt%282%29%29%283%2Bsqrt%282%29%29 ALIGN=MIDDLE  ALT=\"%283%2Bsqrt%282%29%29%283%2Bsqrt%282%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" );
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( "\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%283%29%2Bsqrt%282%29%29%28highlight%283%29%2Bsqrt%282%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%283%29%2Bsqrt%282%29%29%28highlight%283%29%2Bsqrt%282%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=%283%29%2A%283%29=9 ALIGN=MIDDLE  ALT=\"%283%29%2A%283%29=9\"   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=%28highlight%283%29%2Bsqrt%282%29%29%283%2Bhighlight%28sqrt%282%29%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%283%29%2Bsqrt%282%29%29%283%2Bhighlight%28sqrt%282%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=%283%29%2A%28sqrt%282%29%29=3%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"%283%29%2A%28sqrt%282%29%29=3%2Asqrt%282%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=%283%2Bhighlight%28sqrt%282%29%29%29%28highlight%283%29%2Bsqrt%282%29%29 ALIGN=MIDDLE  ALT=\"%283%2Bhighlight%28sqrt%282%29%29%29%28highlight%283%29%2Bsqrt%282%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=%28sqrt%282%29%29%2A%283%29=3%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"%28sqrt%282%29%29%2A%283%29=3%2Asqrt%282%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=%283%2Bhighlight%28sqrt%282%29%29%29%283%2Bhighlight%28sqrt%282%29%29%29 ALIGN=MIDDLE  ALT=\"%283%2Bhighlight%28sqrt%282%29%29%29%283%2Bhighlight%28sqrt%282%29%29%29\"   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=%28sqrt%282%29%29%2A%28sqrt%282%29%29=2 ALIGN=MIDDLE  ALT=\"%28sqrt%282%29%29%2A%28sqrt%282%29%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "---------------------------------------------------\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=9%2B3%2Asqrt%282%29%2B3%2Asqrt%282%29%2B2 ALIGN=MIDDLE  ALT=\"9%2B3%2Asqrt%282%29%2B3%2Asqrt%282%29%2B2\"   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( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2B6%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"11%2B6%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now combine like terms.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Bsqrt%282%29%29%5E2 ALIGN=MIDDLE  ALT=\"%283%2Bsqrt%282%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOILs to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2B6%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"11%2B6%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<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=%283%2Bsqrt%282%29%29%5E2=11%2B6%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"%283%2Bsqrt%282%29%29%5E2=11%2B6%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );