(1-9根3i)/8,就是这个答案了,就是分母有理化一下就可以了
∵1/[(√3+i)^2]=1/(2+2√3i)
=(1-√3i)/[2(1+√3i)(1-√3i)]
=(1-√3i)/8,
∴原式=[(1-√3i)/8]-√3i=(1-9√3i)/8.
八分之一减(八分之9根3)i
首先将(跟号三加i)的平方分之1的分母平方,在分子分母同乘以平方后的共轭复数,化简,再减去根号3i
原式=1/[(√3+i)^2]-√3i
=1/(2+2√3i) -√3i
=(1-√3i)/[2(1+√3i)(1-√3i)] -√3i
=(1-√3i)/8-√3i
=(1-9√3i)/8.