Question

已知z=

(- 3 +i)3(3+4i)2

(1+i)4

，求|z|=______．

Answer 1

∵z=

(- 3 +i)3(3+4i)2

(1+i)4

∴|z|=

|- 3 +i|3|3+4i|2

|1+i|4

=

23•52

( 2 )4

=50
故答案为：50