document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=254352>Question 254352</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you simply the following: 3i/5+i? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #186703 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=186703\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> simply the following: 3i/5+i?<BR>\n" );
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document.write( "Multiply numerator and denominator by 5-i to rationalize the denominator.<BR>\n" );
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document.write( "[(3i)(5-i)]/[(5+i)(5-i)]<BR>\n" );
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document.write( "= (3+15i)/(25+1)<BR>\n" );
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document.write( "= (3/26) + (15/26)i<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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