document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=850587>Question 850587</A>: <I><SPAN STYLE=\"word-break: break-all;\"> FInd the cube roots of -8i (Answers may be left in trigonometric form). Having trouble solving this </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #512231 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=512231\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> FInd the cube roots of -8i (Answers may be left in trigonometric form). <BR>\n" );
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document.write( "0-8i<BR>\n" );
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document.write( "r = sqrt(0^2+8^2) = 8<BR>\n" );
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document.write( "theta = arctan(-8/0) = (3/2)pi<BR>\n" );
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document.write( "(-8i)^(1/3) = r(cis((3/2)pi + npi)/3<BR>\n" );
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document.write( "Let n = 0 : (-8i)^(1/3) = 8cis(pi/2)<BR>\n" );
document.write( "Let n = 1 : (-8i)^(1/3) = 8cis((3/2)+(1/3))pi) = 8cis((11/6)pi)<BR>\n" );
document.write( "Let n = 2 : (-8i)^(1/3) = 8cis[(3/2) + (2/3)]pi= 8cis[(13/6)pi]<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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