i(虚数单位)的平方根是多少?可惜你只答对一半,

Question

i(虚数单位)的平方根是多少?
可惜你只答对一半,

Answer 1

这个问题需要使用复数运算解决：
i = 0 + 1*i = cos(π/2) + i*sin(π/2) = e^(i*π/2)
i^(1/2) = e^(i*π/4) = cos(π/4) + i*sin(π/2) = (√2)/2 + i*(√2)/2 = (√2)/2*(1 + i)