document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=216580>Question 216580</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Multiply the square root of -13 by its complex conjugate. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163561 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=163561\">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=sqrt%28-13%29=i%2Asqrt%2813%29=0%2Bi%2Asqrt%2813%29 ALIGN=MIDDLE  ALT=\"sqrt%28-13%29=i%2Asqrt%2813%29=0%2Bi%2Asqrt%2813%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The complex conjugate of any complex number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bbi ALIGN=MIDDLE  ALT=\"a%2Bbi\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a-bi ALIGN=MIDDLE  ALT=\"a-bi\"   DISABLED_style= \"max-width:90%; height:auto;\" >. In this case, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bbi=0%2Bi%2Asqrt%2813%29 ALIGN=MIDDLE  ALT=\"a%2Bbi=0%2Bi%2Asqrt%2813%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that the conjugate is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a-bi=0-i%2Asqrt%2813%29 ALIGN=MIDDLE  ALT=\"a-bi=0-i%2Asqrt%2813%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which can be written as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%28-13%29 ALIGN=MIDDLE  ALT=\"-sqrt%28-13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now multiply the two values to get: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-13%29%2A%28-sqrt%28-13%29%29=i%2Asqrt%2813%29%2A%28-i%2Asqrt%2813%29%29=-%28i%2Ai%29%2A%28sqrt%2813%2A13%29%29=-i%5E2%2Asqrt%28169%29=-%28-1%29%2A13=13 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the product of the two values is 13. </SPAN>\n" );
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