document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1133897>Question 1133897</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help. Simplify the expression so that it is in the form (a + bi).<BR>\n" );
document.write( "2/3-{ { {sqrt ( -1 ) } } } / { { { sqrt( -4 ) } } } + 1/2<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #751147 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=751147\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+bi ALIGN=MIDDLE  ALT=\"a+%2B+bi\"   DISABLED_style= \"max-width:90%; height:auto;\" >:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3-sqrt%28-1%29%29%2F%28sqrt%28-4%29+%2B+1%2F2%29 ALIGN=MIDDLE  ALT=\"%282%2F3-sqrt%28-1%29%29%2F%28sqrt%28-4%29+%2B+1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-1%29=i ALIGN=MIDDLE  ALT=\"sqrt%28-1%29=i\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-4%29=2i ALIGN=MIDDLE  ALT=\"sqrt%28-4%29=2i\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3-i%29+%2F+%282i+%2B+1%2F2%29 ALIGN=MIDDLE  ALT=\"%282%2F3-i%29+%2F+%282i+%2B+1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282-3i%29%2F3%29+%2F+%28%284i+%2B+1%29%2F2%29 ALIGN=MIDDLE  ALT=\"%28%282-3i%29%2F3%29+%2F+%28%284i+%2B+1%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%282-3i%29+%2F+3%284i+%2B+1%29 ALIGN=MIDDLE  ALT=\"2%282-3i%29+%2F+3%284i+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284-12i%29+%2F+%2812i+%2B+3%29 ALIGN=MIDDLE  ALT=\"%284-12i%29+%2F+%2812i+%2B+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> both numerator and denominator multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812i+-+3%29 ALIGN=MIDDLE  ALT=\"%2812i+-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%284-12i%29%2812i+-+3%29%29+%2F+%28%2812i+%2B+3%29%2812i+-+3%29%29 ALIGN=MIDDLE  ALT=\"%28%284-12i%29%2812i+-+3%29%29+%2F+%28%2812i+%2B+3%29%2812i+-+3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2A12i+-+3%2A4-12i%2A12i%2B12i%2A3%29+%2F+%28%2812i%29%5E2+-+3%5E2%29 ALIGN=MIDDLE  ALT=\"%284%2A12i+-+3%2A4-12i%2A12i%2B12i%2A3%29+%2F+%28%2812i%29%5E2+-+3%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2848i+-+12-144i%5E2%2B36i%29+%2F+%28144i%5E2+-+9%29 ALIGN=MIDDLE  ALT=\"%2848i+-+12-144i%5E2%2B36i%29+%2F+%28144i%5E2+-+9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >....->... <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" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2884i+-+12-144%28-1%29%29+%2F+%28144%28-1%29+-+9%29 ALIGN=MIDDLE  ALT=\"%2884i+-+12-144%28-1%29%29+%2F+%28144%28-1%29+-+9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2884i+-+12%2B144%29+%2F+%28-144+-+9%29 ALIGN=MIDDLE  ALT=\"%2884i+-+12%2B144%29+%2F+%28-144+-+9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2884i+%2B132%29+%2F+%28-153%29 ALIGN=MIDDLE  ALT=\"%2884i+%2B132%29+%2F+%28-153%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+132%2F+%28-153%29%2B84i+%2F+%28-153%29 ALIGN=MIDDLE  ALT=\"+132%2F+%28-153%29%2B84i+%2F+%28-153%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-44%2F51-28i+%2F51 ALIGN=MIDDLE  ALT=\"+-44%2F51-28i+%2F51\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );