Déterminer la partie réelle et la partie imaginaire de chacun des nombres suivants

1) `z_1 = (4-i)(-3+2i)+6i `

2) `z_2 = (2-7i)(2+7i) `

3) ` z_3 = (4-6i)^2 +(4-5i)^2 i `

4) `z_4 = ((2i -7)(1+5i))/((8-i)(4+3i))`

5) `z_5 = ( 1+sqrt(2) -i )/( 1+sqrt(2) +i ) `

6) `z_6 = (sqrt(7) +3i)/(sqrt(7) -3i) + (sqrt(7) -3i)/(sqrt(7) +3i) `

7) `z_7 = ((4-6i)/(3+2i))((1+3i)/(3-2i))`

8) `z_8 = (1+i)^3/(1-i) + (1-i)^4/(1+i)^2 `

9) `z_9 = (1-2i)^5`

10) `z_10 = ((sqrt(3) +i)/2)^(24) `

11) ` z_11 = ((1+i)/(1-i))^(15) `