document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=235867>Question 235867</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how can you show that &#8730;3+i/2 is a cube root of i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173642 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=173642\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the Argand plane where multiplication<BR>\n" );
document.write( "is done by multiplying amplitudes and adding<BR>\n" );
document.write( "angles of the rotating vectors<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29%2F2+%2B+i%2F2 ALIGN=MIDDLE  ALT=\"sqrt%283%29%2F2+%2B+i%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28sqrt%283%29%2F2%29%5E2+%2B+%281%2F2%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28sqrt%283%29%2F2%29%5E2+%2B+%281%2F2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > angle 30 degrees<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28sqrt%283%29%2F2%29%5E2+%2B+%281%2F2%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28sqrt%283%29%2F2%29%5E2+%2B+%281%2F2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > angle 30 degrees = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > angle 30 degrees<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i+=+%28sqrt%283%29%2F2+%2B+i%2F2%29%5E3 ALIGN=MIDDLE  ALT=\"i+=+%28sqrt%283%29%2F2+%2B+i%2F2%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i ALIGN=MIDDLE  ALT=\"i\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > angle 90 degrees<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > angle 90 degrees  = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%5E3 ALIGN=MIDDLE  ALT=\"1%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30+%2B+30+%2B+30 ALIGN=MIDDLE  ALT=\"30+%2B+30+%2B+30\"   DISABLED_style= \"max-width:90%; height:auto;\" >degrees<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > angle 90 degrees = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > angle 90 degrees<BR>\n" );
document.write( "It is best to draw this. The advantage is that the exponent could<BR>\n" );
document.write( "be any size and you just add angles and raise 1 number to a power<BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );