document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=36318>Question 36318</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all the fifth roots of (2+i). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #22318 by </B><A HREF=/tutors/aboutme.mpl?userid=cininnatus><B>cininnatus(12)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=cininnatus><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=22318\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the fact that any complex number z has polar representation z=r*e^(i*theta)\r<BR>\n" );
document.write( "\n" );
document.write( "You can find r with the pythagorean theorm and theta using trigonometry.\r<BR>\n" );
document.write( "\n" );
document.write( "the roots will be given by: z^(1/n)=r^(1/n)e^(i*(theta+2pi*k)/n) where n is 5 and k is all the integers between 0 and n-1. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );