document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=359983>Question 359983</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove that the complex conjugate of the sum of two complex numbers a+bi and c+di is the sum of their complex conjugates </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #256955 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=256955\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Prove that the complex conjugate of the sum of two complex numbers a+bi and c+di is the sum of their complex conjugates\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "get the sum of the two complex numbers:<BR>\n" );
document.write( "a + bi + c + di = (a + c) + (b + d)i<BR>\n" );
document.write( "get the conjugate:<BR>\n" );
document.write( "the conjugate of (a + c) + (b + d)i is (a + c) - (b + d)i<BR>\n" );
document.write( "get the conjugate of a + bi:<BR>\n" );
document.write( "the conjugate of a + bi = a - bi<BR>\n" );
document.write( "get the conjugate of c + di:<BR>\n" );
document.write( "the conjugate of c + di = c - di<BR>\n" );
document.write( "get the sum of the two conjugates:<BR>\n" );
document.write( "a - bi + c - di = (a + c) + (-b - d)i = (a + c) - (b + d)i\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the complex conjugate of the sum of a + bi and c + di is the same as the sum of their complex conjugates<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );