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" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #751144 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=751144\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From how it appears, this is (2/3)-i/(2i+1/2)<BR>\n" );
document.write( "rewrite as (2/3)-i/((1/2)+2i)<BR>\n" );
document.write( "multiply top and bottom by conjugate ((1/2)- 2i)<BR>\n" );
document.write( "numerator is ((2/3)+i)((1/2-2i)=(1/3)-(4/3)i+(1/2)i-2i^2=(1/3)-(5/6)i+2 or (7/3)-(5/6)i<BR>\n" );
document.write( "denominator is (1/4)+4 or 17/4<BR>\n" );
document.write( "This is [4(7/3)-(10/3)i]/17 </SPAN>\n" );
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