(a) √2 is irrational (∵if p is prime, then √ is irrational).
(b) 3√6 = 3√2 × 3√3 is irrational.
(c) 3.142857 is rational because it is a terminating decimal.
(d) 2.3 bar is rational because it is a non-terminating, repeating decimal.
(e) π is irrational because it is a non-repeating, non –terminating decimal.
(f) 22/7 is rational because it is in the form of p/q , q ≠ 0.
(g) 0.232332333…. is irrational because it is a non-terminating, non-repeating decimal.
(h) 5.2741 bar is rational because it is a non-terminating, repeating decimal.