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
