document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=895717>Question 895717</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My book doesn't explain how to solve:<BR>\n" );
document.write( "(3&#8730;-5)(-4&#8730;-12)<BR>\n" );
document.write( "I'd like to know what to do with the radicands and understand this.<BR>\n" );
document.write( "So far I thought it was: (3&#8730;-1&#8730;5)(-4&#8730;-1&#8730;12) to (3&#8730;5)(-4 •2&#8730;3) but it doesn't seem right at all and I got stuck. Please help, much thanks!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #542973 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=542973\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Those given factors contain imaginary numbers.<BR>\n" );
document.write( "You would be using the idea, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E2=-1 ALIGN=MIDDLE  ALT=\"i%5E2=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Here is the arithmetic.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%28-5%29%28-4%29sqrt%28-12%29 ALIGN=MIDDLE  ALT=\"3sqrt%28-5%29%28-4%29sqrt%28-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12%2Asqrt%28-5%29sqrt%28-12%29 ALIGN=MIDDLE  ALT=\"-12%2Asqrt%28-5%29sqrt%28-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12%2Asqrt%28-1%29sqrt%285%29sqrt%28-1%29sqrt%284%29sqrt%283%29 ALIGN=MIDDLE  ALT=\"-12%2Asqrt%28-1%29sqrt%285%29sqrt%28-1%29sqrt%284%29sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12%2Asqrt%28-1%29sqrt%28-1%29sqrt%285%292%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"-12%2Asqrt%28-1%29sqrt%28-1%29sqrt%285%292%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12%2A%28-1%29%2A2%2Asqrt%285%29sqrt%283%29 ALIGN=MIDDLE  ALT=\"-12%2A%28-1%29%2A2%2Asqrt%285%29sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2Asqrt%285%29sqrt%283%29 ALIGN=MIDDLE  ALT=\"24%2Asqrt%285%29sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2824%2Asqrt%2815%29%29 ALIGN=MIDDLE  ALT=\"highlight%2824%2Asqrt%2815%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Notice that although the original product shows imaginary numbers, the final result in this example is REAL.\r<BR>\n" );
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document.write( "The commutative property for multiplication was used freely where convenient. </SPAN>\n" );
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