document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=351932>Question 351932</A>: <I><SPAN STYLE=\"word-break: break-all;\"> multiply (3/sqrt 5 - 9/sqrt 2)(2/sqrt 5 + 6/sqrt 2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #251679 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=251679\">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=%283%2Fsqrt%285%29+-+9%2Fsqrt%282%29%29%282%2Fsqrt%285%29+%2B+6%2Fsqrt%282%29%29 ALIGN=MIDDLE  ALT=\"%283%2Fsqrt%285%29+-+9%2Fsqrt%282%29%29%282%2Fsqrt%285%29+%2B+6%2Fsqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Just use FOIL (or whatever technique you have learned for multiplying binomials (two term expressions)):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Fsqrt%285%29%29%2A%282%2Fsqrt%285%29%29+%2B+%283%2Fsqrt%285%29%29%286%2Fsqrt%282%29%29+-+%289%2Fsqrt%282%29%29%282%2Fsqrt%285%29%29+-+%289%2Fsqrt%282%29%29%286%2Fsqrt%282%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiplying out these fractions we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F5+%2B+18%2Fsqrt%2810%29+-+18%2Fsqrt%2810%29+-54%2F2 ALIGN=MIDDLE  ALT=\"6%2F5+%2B+18%2Fsqrt%2810%29+-+18%2Fsqrt%2810%29+-54%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The square root terms cancel out and 54/2 = 27 leaving:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F5+-27 ALIGN=MIDDLE  ALT=\"6%2F5+-27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtracting:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F5+-+135%2F5 ALIGN=MIDDLE  ALT=\"6%2F5+-+135%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-129%2F5 ALIGN=MIDDLE  ALT=\"-129%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "As a mixed number this is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-25%264%2F5 ALIGN=MIDDLE  ALT=\"-25%264%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );