A power

General Mathematics
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Tolaso J Kos
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A power

#1

Post by Tolaso J Kos »

Evaluate

$$\left ( \frac{1+\sqrt{3}}{2\sqrt{2}}+ i \frac{\sqrt{3}-1}{2\sqrt{2}} \right )^{72}$$
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Grigorios Kostakos
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Re: A power

#2

Post by Grigorios Kostakos »

Maybe this form \[\left ( \frac{1+\sqrt{3}}{2\sqrt{2}}+ i \frac{\sqrt{3}-1}{2\sqrt{2}} \right )^{72}=\Big(\cos\tfrac{\pi}{12}+i\sin\tfrac{\pi}{12}\Big)^{72}\] is helpful...
Grigorios Kostakos
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