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Show that (-1 + √3i)^3 is a real number.

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Show that (-1 + √3i)3 is a real number.

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(-1 + √3i)3 = (-1)3 + 3(-1)2(√3i) + 3(-1) (√3i)2 + (√3i)3

= -1 + 9

= 8, which is real number.

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