MHT CET 2026 Mathematics question

If , where is a non-real complex cube root of unity, then the value of is..

(A)1
(B)-1
(C)
(D)Correct

Answer: (D)

Solution

The radical repeats itself, so the expression under the first root sign is again : . Squaring, , i.e. . The roots of are exactly the non-real cube roots of unity and

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Question ID VK-097609