document.write( "Question 1074318: How to find three cube roots of -64i? \n" ); document.write( "
Algebra.Com's Answer #689009 by Edwin McCravy(20065)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Therefore:\r\n" );
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document.write( "We use DeMoivre's theorem to multiply the angle by the exponent \"1%2F3\":\r\n" );
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document.write( "We can use any three consecutive integers for n to obtain the\r\n" );
document.write( "three cube roots:\r\n" );
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document.write( "Using n=0\r\n" );
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document.write( "Using n=1\r\n" );
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document.write( "Using n=2\r\n" );
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document.write( "So the three cube roots of -64i are\r\n" );
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document.write( "\"4i\", \"-2sqrt%283%29-2i\", and \"2sqrt%283%29-2i\"\r\n" );
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document.write( "Edwin
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