Simplify by rationalising the denominator:

40 Examine, whether the following numbers are rational or irrational:
(i) (√2 + 2)²
(ii) (2-√2)x(2 +√2)
(iii) (√2 +√3)²
(iv) 41 Prove that
         (a) 2 + is not a rational number and 
         (b)  is not a rational number.               43 Simplify by rationalising the denominator: 44 Examine whether the following numbers are rational or irrational:
(i)     , (ii) (3-)(3+), (iii)