document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174593>Question 1174593</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For a positive integer n, the complex number \r<BR>\n" );
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document.write( "zk = n r cos 𝜃 + 2𝜋k n + i sin 𝜃 + 2𝜋k n\r<BR>\n" );
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document.write( "where k = 0, 1, 2, . . . , n − 1.<BR>\n" );
document.write( "Consider the following.<BR>\n" );
document.write( "Cube roots of 2744\r<BR>\n" );
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document.write( "(a) Use the theorem above to find the indicated roots of the complex number. (Enter your answers in trigonometric form.)\r<BR>\n" );
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document.write( "z0= <BR>\n" );
document.write( "z1=<BR>\n" );
document.write( "z2=\r<BR>\n" );
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document.write( "(b) Write each of the roots in standard form.<BR>\n" );
document.write( "z0= <BR>\n" );
document.write( "z1=<BR>\n" );
document.write( "z2=<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #800029 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=800029\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%5E3+=+2744 ALIGN=MIDDLE  ALT=\"14%5E3+=+2744\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "first cube root...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2744+=+%2814%5E3%29%28cos%280%29%2Bi%2Asin%280%29%29 ALIGN=MIDDLE  ALT=\"2744+=+%2814%5E3%29%28cos%280%29%2Bi%2Asin%280%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C2744%29+=+14%28cos%280%29%2Bi%2Asin%280%29%29+=+14%2B0i+=+14 ALIGN=MIDDLE  ALT=\"root%283%2C2744%29+=+14%28cos%280%29%2Bi%2Asin%280%29%29+=+14%2B0i+=+14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "second cube root...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2744+=+%2814%5E3%29%28cos%28360%29%2Bi%2Asin%28360%29%29 ALIGN=MIDDLE  ALT=\"2744+=+%2814%5E3%29%28cos%28360%29%2Bi%2Asin%28360%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C2744%29+=+14%28cos%28120%29%2Bi%2Asin%28120%29%29+=+14%28%28-1%2F2%29%2Bi%2A%28sqrt%283%29%2F2%29%29+=+-7%2B7i%2Asqrt%283%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "third cube root...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2744+=+%2814%5E3%29%28cos%28720%29%2Bi%2Asin%28720%29%29 ALIGN=MIDDLE  ALT=\"2744+=+%2814%5E3%29%28cos%28720%29%2Bi%2Asin%28720%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C2744%29+=+14%28cos%28240%29%2Bi%2Asin%28240%29%29+=+14%28%28-1%2F2%29%2Bi%2A%28-sqrt%283%29%2F2%29%29+=+-7-7i%2Asqrt%283%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );