document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=574844>Question 574844</A>: <I><SPAN STYLE=\"word-break: break-all;\"> multiply (sqrt11+5sqrt3)(sqrt11-5sqrt3) I just need to know if I am right I thought that the 5sqrt3 would cancel out and I would be left with square root of 11 multiplied by square root of 11 giving me the answer square 121 is this correct? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #369317 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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/cgi-bin/show-face.mpl?user=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=369317\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Multiplying as you would for the product of any two binomials you get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%2811%29%2B5sqrt%283%29%29%28sqrt%2811%29-5sqrt%283%29%29=sqrt%2811%29%2Asqrt%2811%29-5sqrt%283%29%2Asqrt%2811%29%2B5sqrt%283%29%2Asqrt%2811%29%2B5sqrt%283%29%2A%285sqrt%283%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The two terms in the middle cancel out and you end up with<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%2811%29%29%5E2-%285sqrt%283%29%29%5E2=11-5%5E2%2A%28sqrt%283%29%29%5E2=11-25%2A3=11-75=-64 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Any time you multiply a sum times the difference of the same numbers (or mathematical expressions) there are products that cancel out and you end up with the difference of the squares.<BR>\n" );
document.write( "That is usually shown as a \"special product\" in your book, looking like:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bb%29%28a-b%29=a%5E2-b%5E2 ALIGN=MIDDLE  ALT=\"%28a%2Bb%29%28a-b%29=a%5E2-b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It is very useful for multiplying because you would be able to skip messy intermediate calculations and just write<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%2811%29%2B5sqrt%283%29%29%28sqrt%2811%29-5sqrt%283%29%29=%28sqrt%2811%29%29%5E2-%285sqrt%283%29%29%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You use that special product in factoring polynomials, as in<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-9=%28x%2B3%29%28x-3%29 ALIGN=MIDDLE  ALT=\"x%5E2-9=%28x%2B3%29%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can also use it for mental math feats like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2A52=2496 ALIGN=MIDDLE  ALT=\"48%2A52=2496\"   DISABLED_style= \"max-width:90%; height:auto;\" > because<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2A52=%2850-2%29%2850%2B2%29=50%5E2-2%5E2=2500-4=2496 ALIGN=MIDDLE  ALT=\"48%2A52=%2850-2%29%2850%2B2%29=50%5E2-2%5E2=2500-4=2496\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );