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Question: The value of (–1 + \(\sqrt{- 3}\))<sup>62</sup> + (–1– \(\sqrt{- 3}\))<sup>62</sup> is :...

The value of (–1 + 3\sqrt{- 3})62 + (–1– 3\sqrt{- 3})62 is :

A

262

B

264

C

– 262

D

0

Answer

– 262

Explanation

Solution

Sol. If –1 +3i\sqrt{3}i / 2 = w, so, 262 w62 + 262(w2)62

= 262 (w2 + w) = – 262 (Q w3 = 1)