Solution

36711

First name
Michael Wells
School
St Stephens School Carramar
Country
Age
15

1)Z_1=1+i
Z_2=1-i
Z_1+Z_2=2
2 is a real number
2)Z_1=i+2
Z_2=2i-2
Z_1+Z_2=3i
3i is an imaginary number
3)For a real number add -ib
For an imaginary number add -a
4)Z_1=1+i
Z_2=1-i
Z_1*Z_2=1+i-i-i^2
This simplyfies to a real number: 2
5)(3+3i)^2=18i
18i is imaginary
6)For a real number, a-ib
For an imaginary number, a+ib (Given that a and b are equal)