document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186676>Question 186676</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you simplify 5&#8730;(-6)*4&#8730;(-10) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139939 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=139939\">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=5%2Asqrt%28-6%29%2A4%2Asqrt%28-10%29 ALIGN=MIDDLE  ALT=\"5%2Asqrt%28-6%29%2A4%2Asqrt%28-10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Asqrt%28-1%2A6%29%2A4%2Asqrt%28-1%2A10%29 ALIGN=MIDDLE  ALT=\"5%2Asqrt%28-1%2A6%29%2A4%2Asqrt%28-1%2A10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor -6 into -1*6. Factor -10 into -1*10\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Asqrt%28-1%29%2Asqrt%286%29%2A4%2Asqrt%28-1%29%2Asqrt%2810%29 ALIGN=MIDDLE  ALT=\"5%2Asqrt%28-1%29%2Asqrt%286%29%2A4%2Asqrt%28-1%29%2Asqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the square root.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Ai%2Asqrt%286%29%2A4%2Ai%2Asqrt%2810%29 ALIGN=MIDDLE  ALT=\"5%2Ai%2Asqrt%286%29%2A4%2Ai%2Asqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace the square root of -1 with 'i' (note: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i=sqrt%28-1%29 ALIGN=MIDDLE  ALT=\"i=sqrt%28-1%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=%285%2A4%29%2A%28sqrt%286%29%2Asqrt%2810%29%29%2A%28i%2Ai%29 ALIGN=MIDDLE  ALT=\"%285%2A4%29%2A%28sqrt%286%29%2Asqrt%2810%29%29%2A%28i%2Ai%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2A4%29%2A%28sqrt%286%29%2Asqrt%2810%29%29%2A%28i%5E2%29 ALIGN=MIDDLE  ALT=\"%285%2A4%29%2A%28sqrt%286%29%2Asqrt%2810%29%29%2A%28i%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply 'i' and 'i' to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E2 ALIGN=MIDDLE  ALT=\"i%5E2\"   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=%285%2A4%29%2A%28sqrt%286%29%2Asqrt%2810%29%29%2A%28-1%29 ALIGN=MIDDLE  ALT=\"%285%2A4%29%2A%28sqrt%286%29%2Asqrt%2810%29%29%2A%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E2 ALIGN=MIDDLE  ALT=\"i%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > with -1. Remember, since  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i=sqrt%28-1%29 ALIGN=MIDDLE  ALT=\"i=sqrt%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2A4%2A%28-1%29%29%2A%28sqrt%286%29%2Asqrt%2810%29%29 ALIGN=MIDDLE  ALT=\"%285%2A4%2A%28-1%29%29%2A%28sqrt%286%29%2Asqrt%2810%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms again\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-20%2A%28sqrt%286%29%2Asqrt%2810%29%29 ALIGN=MIDDLE  ALT=\"-20%2A%28sqrt%286%29%2Asqrt%2810%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-20%2Asqrt%286%2A10%29 ALIGN=MIDDLE  ALT=\"-20%2Asqrt%286%2A10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the roots.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-20%2Asqrt%2860%29%29 ALIGN=MIDDLE  ALT=\"-20%2Asqrt%2860%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-20%2Asqrt%284%2A15%29 ALIGN=MIDDLE  ALT=\"-20%2Asqrt%284%2A15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor 60 into 4*15. Note: one factor is a perfect square\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-20%2Asqrt%284%29%2Asqrt%2815%29 ALIGN=MIDDLE  ALT=\"-20%2Asqrt%284%29%2Asqrt%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the square root.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-20%2A2%2Asqrt%2815%29 ALIGN=MIDDLE  ALT=\"-20%2A2%2Asqrt%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of 4 to get 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-40%2Asqrt%2815%29 ALIGN=MIDDLE  ALT=\"-40%2Asqrt%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Asqrt%28-6%29%2A4%2Asqrt%28-10%29=-40%2Asqrt%2815%29 ALIGN=MIDDLE  ALT=\"5%2Asqrt%28-6%29%2A4%2Asqrt%28-10%29=-40%2Asqrt%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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