document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195879>Question 1195879</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rewrite square root of negative 9 end root minus 6 in complex number notation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #828479 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=828479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Recall that <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;\" > by definition of what it means to be an imaginary number. \r<BR>\n" );
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document.write( "So,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-9%29+=+sqrt%28-1%2A9%29 ALIGN=MIDDLE  ALT=\"sqrt%28-9%29+=+sqrt%28-1%2A9%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=sqrt%28-9%29+=+sqrt%28-1%29%2Asqrt%289%29 ALIGN=MIDDLE  ALT=\"sqrt%28-9%29+=+sqrt%28-1%29%2Asqrt%289%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=sqrt%28-9%29+=+i%2A3 ALIGN=MIDDLE  ALT=\"sqrt%28-9%29+=+i%2A3\"   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=sqrt%28-9%29+=+3i ALIGN=MIDDLE  ALT=\"sqrt%28-9%29+=+3i\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We do not involve the plus/minus in this case. This is because the result of the square root function is one output only.<BR>\n" );
document.write( "Input = -9 leads to output = 3i\r<BR>\n" );
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document.write( "Therefore,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-9%29+-+6+=+3i+-+6+=+-6%2B3i ALIGN=MIDDLE  ALT=\"sqrt%28-9%29+-+6+=+3i+-+6+=+-6%2B3i\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The complex number is of the form a+bi<BR>\n" );
document.write( "a = -6 = real part<BR>\n" );
document.write( "b = 3 = imaginary part<BR>\n" );
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