设|z|=1/1+i+i,则|z|=?如题

Question

设|z|=1/1+i +i,则|z|=?
如题

Answer 1

z= 1/(1+i) + i
= i/(1+i)
= i(1-i)/2
= (1+i)/2
|z|^2 = 1/4 +1/4
|z| =√2/2