document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=187957>Question 187957</A>: <I><SPAN STYLE=\"word-break: break-all;\"> WRITE AS A COMPLEX NUMBER IN STANDARD FORM ;)\r<BR>\n" );
document.write( "\n" );
document.write( "5i/2+i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140905 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=140905\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Please stop writing your questions in ALL CAPS.  It is the electronic equivalent of shouting and is therefore both rude and annoying.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{5i}{2+i}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Use the technique you learned for rationalizing denominators.  Use the conjugate of the binomial in the denominator.  (<i>a</i> - <i>b</i>) is the conjugate of (<i>a</i> + <i>b</i>) and the product of a pair of conjugates is the difference of two squares.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \left(\frac{5i}{2+i}\right) \left(\frac{2-i}{2-i}\right) = \frac{10i - 5(i^2)}{2^2 - i^2} = \frac{10i - 5(-1)}{2^2 - (-1)} = \frac{10i + 5}{4+1} =  \frac{5+10i}{5} = 1 + 2i\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );