Use the formula: r^(1/n)[ cos( (theta+360k)/n ) + isin( (theta+360k)/n ) ] where k = 0,1,2,3,4
First 5th root:
k = 0
r^(1/n)[ cos( (theta+360k)/n ) + isin( (theta+360k)/n ) ]
(32)^(1/5)[ cos( (280+360k)/5 ) + isin( (280+360k)/5 ) ]
(32)^(1/5)[ cos( (280+3600)/5 ) + isin( (280+3600)/5 ) ]
2[ cos( (280+3600)/5 ) + isin( (280+3600)/5 ) ]
2[ cos( (280+0)/5 ) + isin( (280+0)/5 ) ]
2[ cos( 280/5 ) + isin( 280/5 ) ]
2[ cos( 56 ) + isin( 56 ) ]
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Second 5th root:
k = 1
r^(1/n)[ cos( (theta+360k)/n ) + isin( (theta+360k)/n ) ]
(32)^(1/5)[ cos( (280+360k)/5 ) + isin( (280+360k)/5 ) ]
(32)^(1/5)[ cos( (280+3601)/5 ) + isin( (280+3601)/5 ) ]
2[ cos( (280+3601)/5 ) + isin( (280+3601)/5 ) ]
2[ cos( (280+360)/5 ) + isin( (280+360)/5 ) ]
2[ cos( 640/5 ) + isin( 640/5 ) ]
2[ cos( 128 ) + isin( 128 ) ]
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Third 5th root:
k = 2
r^(1/n)[ cos( (theta+360k)/n ) + isin( (theta+360k)/n ) ]
(32)^(1/5)[ cos( (280+360k)/5 ) + isin( (280+360k)/5 ) ]
(32)^(1/5)[ cos( (280+3602)/5 ) + isin( (280+3602)/5 ) ]
2[ cos( (280+3602)/5 ) + isin( (280+3602)/5 ) ]
2[ cos( (280+720)/5 ) + isin( (280+720)/5 ) ]
2[ cos( 1000/5 ) + isin( 1000/5 ) ]
2[ cos( 200 ) + isin( 200 ) ]
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Fourth 5th root:
k = 3
r^(1/n)[ cos( (theta+360k)/n ) + isin( (theta+360k)/n ) ]
(32)^(1/5)[ cos( (280+360k)/5 ) + isin( (280+360k)/5 ) ]
(32)^(1/5)[ cos( (280+3603)/5 ) + isin( (280+3603)/5 ) ]
2[ cos( (280+3603)/5 ) + isin( (280+3603)/5 ) ]
2[ cos( (280+1080)/5 ) + isin( (280+1080)/5 ) ]
2[ cos( 1360/5 ) + isin( 1360/5 ) ]
2[ cos( 272 ) + isin( 272 ) ]
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Fifth 5th root:
k = 4
r^(1/n)[ cos( (theta+360k)/n ) + isin( (theta+360k)/n ) ]
(32)^(1/5)[ cos( (280+360k)/5 ) + isin( (280+360k)/5 ) ]
(32)^(1/5)[ cos( (280+3604)/5 ) + isin( (280+3604)/5 ) ]
2[ cos( (280+3604)/5 ) + isin( (280+3604)/5 ) ]
2[ cos( (280+1440)/5 ) + isin( (280+1440)/5 ) ]
2[ cos( 1720/5 ) + isin( 1720/5 ) ]
2[ cos( 344 ) + isin( 344 ) ]
