document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=595437>Question 595437</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you explain how to do this problem?\r<BR>\n" );
document.write( "\n" );
document.write( "(sqrt(6)-i)(sqrt(6)+8i) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #377151 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=377151\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, there--\r<BR>\n" );
document.write( "\n" );
document.write( "Remember that the letter i represents the complex number, the square root of -1. You solve this problem by using the distributive property. We have a two-term expression multiplied by another two-term expression. If you remember \"FOIL\" from earlier algebra classes, this is a similar process.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Multiply each term in the first expression by each of the terms in the second expression. You will then have one 4-term expression.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%286%29-i%29%28sqrt%286%29%2B8i%29 ALIGN=MIDDLE  ALT=\"%28sqrt%286%29-i%29%28sqrt%286%29%2B8i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%286%29%29%28sqrt%286%29%29%2B%28sqrt%286%29%29%288i%29%2B%28-i%29%28sqrt%286%29%29%2B%28-i%29%288i%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now simplify and combine any like terms [Note:(-i)(i)=1].<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2836%29%2B%28sqrt%286%29%29%288i%29-%28i%29%28sqrt%286%29%29%2B%281%29%288%29 ALIGN=MIDDLE  ALT=\"sqrt%2836%29%2B%28sqrt%286%29%29%288i%29-%28i%29%28sqrt%286%29%29%2B%281%29%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2B%28sqrt%286%29%29%288i%29-%28i%29%28sqrt%286%29%29%2B8 ALIGN=MIDDLE  ALT=\"6%2B%28sqrt%286%29%29%288i%29-%28i%29%28sqrt%286%29%29%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%286%29%29%288i%29-%28i%29%28sqrt%286%29%29%2B14 ALIGN=MIDDLE  ALT=\"%28sqrt%286%29%29%288i%29-%28i%29%28sqrt%286%29%29%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now you can factor sqrt(6) out of the first two terms, and simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%286%29%29%288i-i%29%2B14 ALIGN=MIDDLE  ALT=\"%28sqrt%286%29%29%288i-i%29%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%286%29%29%287i%29%2B14 ALIGN=MIDDLE  ALT=\"%28sqrt%286%29%29%287i%29%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Hope this helps! Please email me if you are confused about any of my steps.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Mrs. Figgy<BR>\n" );
document.write( "math.in.the.vortex@gmail.com </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );