document.write( "Question 1074318: How to find three cube roots of -64i? \n" ); document.write( "
\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Therefore:\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "We use DeMoivre's theorem to multiply the angle by the exponent :\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "We can use any three consecutive integers for n to obtain the\r\n" ); document.write( "three cube roots:\r\n" ); document.write( "\r\n" ); document.write( "Using n=0\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Using n=1\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Using n=2\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So the three cube roots of -64i are\r\n" ); document.write( "\r\n" ); document.write( ", , and \r\n" ); document.write( "\r\n" ); document.write( "Edwin