Average of All nth Roots | Desmos

nth Roots of Unity

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Hidden Label: "R" Subscript, 1 , Baseline equals exponent left parenthesis, StartFraction, left bracket, 0... "n" minus 1 , right bracket Over "n" , EndFraction 2 pi "i" , right parenthesis equals a list of complex numbers. 5 items Has graph. To audio trace, press ALT+T.

Label

equals

1

0.3 0 9 plus 0.9 5 1 1 "i"

negative 0.8 0 9 plus 0.5 8 7 8 "i"

negative 0.8 0 9 minus 0.5 8 7 8 "i"

0.3 0 9 minus 0.9 5 1 1 "i"

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All nth Roots of z

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Hidden Label: "R" Subscript, 1 , Baseline "s" equals a list of complex numbers. 5 items Has graph. To audio trace, press ALT+T.

Label

equals

1.2 0 8 plus 0.7 8 0 7 "i"

negative 0.3 6 9 2 plus 1.3 9 "i"

negative 1.4 3 6 plus 0.0 7 8 4 8 "i"

negative 0.5 1 8 5 minus 1.3 4 2 "i"

1.1 1 6 minus 0.9 0 7 7 "i"

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Average of All nth Roots of z

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Hidden Label: mean left parenthesis, "R" Subscript, 1 , Baseline "s" , right parenthesis equals negative 4.4 4 0 8 9 2 0 9 8 5 times 10 to the negative 17th power minus 8.8 8 1 7 8 4 1 9 7 times 10 to the negative 17th power "i" Has graph. To audio trace, press ALT+T.

Label

equals

negative 4.4 4 0 9 times 10 to the negative 17th power minus 8.8 8 1 8 times 10 to the negative 17th power "i"

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