Answer:
Here are the answers. Hope this helps you!
Step-by-step explanation:
11/12*9/22 = rational         (as the solution is 33/88 which is in p/q form with                                    q not equal to 0 and p and q as integers.)
√5 *8 = 8√5 = irrational
3 + √17 = irrational                               (sum of a rational and irrational     number is always irrational)
√3*√12 = √36 = 6= rational number
π - 2π = -π = irrational                                   (since π is irrational)
-3/8 + 3/5 = -15+24/40 = 9/40 = rational 
√6/2  - 1/2 = 1/2*√6 - 1 * 1/2 = 1/2 (√6 - 1) = irrational      (in this case difference is irrational and the product is clearly irrational as well).