document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=924460>Question 924460</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the modulus of -1 i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #560849 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=560849\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "The modulus must be a positive number.<BR>\n" );
document.write( "If the complex number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Z+=+jb ALIGN=MIDDLE  ALT=\"Z+=+jb\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mod%28Z%29+=+sqrt%28+%28jb%29%5E2%29 ALIGN=MIDDLE  ALT=\"mod%28Z%29+=+sqrt%28+%28jb%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mod%28Z%29 ALIGN=MIDDLE  ALT=\"mod%28Z%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > denotes the modulus of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Z ALIGN=MIDDLE  ALT=\"Z\"   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=mod%28Z%29=sqrt%28+%28-1i%29%5E2%29 ALIGN=MIDDLE  ALT=\"mod%28Z%29=sqrt%28+%28-1i%29%5E2%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=mod%28Z%29=sqrt%28+1i%5E2%29 ALIGN=MIDDLE  ALT=\"mod%28Z%29=sqrt%28+1i%5E2%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=mod%28Z%29=sqrt%28+i%5E2%29 ALIGN=MIDDLE  ALT=\"mod%28Z%29=sqrt%28+i%5E2%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=mod%28Z%29=i ALIGN=MIDDLE  ALT=\"mod%28Z%29=i\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%28+%28jb%29%5E2%29 ALIGN=MIDDLE  ALT=\"+sqrt%28+%28jb%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28b%29j%29 ALIGN=MIDDLE  ALT=\"abs%28b%29j%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then you can find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mod%28Z%29 ALIGN=MIDDLE  ALT=\"mod%28Z%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > this way:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mod%28Z%29=abs%28-1%29i ALIGN=MIDDLE  ALT=\"mod%28Z%29=abs%28-1%29i\"   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=mod%28Z%29=1i ALIGN=MIDDLE  ALT=\"mod%28Z%29=1i\"   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=mod%28Z%29=i ALIGN=MIDDLE  ALT=\"mod%28Z%29=i\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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