document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=165356>Question 165356</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the quotient and express the answer in the standard form of a complex number.  2/3i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129965 by </B><A HREF=/tutors/aboutme.mpl?userid=HyperBrain><B>HyperBrain(694)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=HyperBrain><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=129965\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Crash lesson: The conjugate of a complex number a+bi is the complex number a-bi.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%283i%29 ALIGN=MIDDLE  ALT=\"2%2F%283i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take note that 3i is a complex number. It can be expressed in the form 0+3i.\r<BR>\n" );
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document.write( "2/3i is not in simplest form because the denominator is not rational. We must rationalize the denominator.<BR>\n" );
document.write( "To rationalize the denominator of a fraction, multiply the numerator and the denominator of the fraction by the conjugate of the denominator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%283i%29=%282%2F%280%2B3i%29%29%28%280-3i%29%2F%280-3i%29%29=+-6i ALIGN=MIDDLE  ALT=\"2%2F%283i%29=%282%2F%280%2B3i%29%29%28%280-3i%29%2F%280-3i%29%29=+-6i\"   DISABLED_style= \"max-width:90%; height:auto;\" >>>>Answer\r<BR>\n" );
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document.write( "Power up,<BR>\n" );
document.write( "HyperBrain! </SPAN>\n" );
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