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1 year ago

PLEASE HELP!!!

Mathematics

1 answer:

Wewaii [24]1 year ago

8 0

9514 1404 393

Answer:

2∠15°
2cos(15°) +i·2sin(15°) ≈ 1.93185 +0.517638i

Step-by-step explanation:

Using Euler's formula, the 6th root is easily found.

(64i)^(1/6) = ((2^6)e^(iπ/2))^(1/6) = 2e^(iπ/12) = 2∠15°

= 2(cos(15°) +i·sin(15°)) = 2·cos(15°) +i·2·sin(15°) ≈ 1.93185 +0.517638i

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