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Square roots of i, where i = √−1, are

1. i, −i
2. cos(π/4) − i sin(π/4), cos(3π/4) − i sin(3π/4)
3. cos(π/4) + i sin(π/4), cos(3π/4) + i sin(3π/4)
4. cos(3π/4) − i sin(3π/4), cos(3π/4) + i sin(3π/4)

Correct answer: cos(π/4) + i sin(π/4), cos(3π/4) + i sin(3π/4)

Solution

The correct option represents the square roots of i in polar form, where i can be expressed as e^(iπ/2). The square roots correspond to angles π/4 and 3π/4, leading to the expressions cos(π/4) + i sin(π/4) and cos(3π/4) + i sin(3π/4).

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