find the cube roots of unity and locate them on the argand plane
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A root of unity is a complex number that, when raised to a positive integer power, results in . Roots of unity have connections to many areas of mathematics, including the geometry of regular polygons, group theory, and number theory.
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Let the cube root of 1 be x i.e., 3√ 1 = x.
Then by definition, x3 = 1 or x3 � 1 = 0 or (x � 1) (x2 + x + 1) = 0
Either x � 1 = 0 i.e., x = 1 or (x2 + x + 1) = 0
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