(a) √2 is irrational (∵if p is prime, then √ is irrational).
(b) \(\sqrt[3]{6}\) = \(\sqrt[3]{2}\) x \(\sqrt[3]{3}\) is irrational.
(c) 3.142857 is rational because it is a terminating decimal.
(d) \(2.\bar3\) is rational because it is a non-terminating, repeating decimal
(e) π is irrational because it is a non-repeating, non –terminating decimal.
(f) \(\frac{22}7\) is rational because it is in the form of \(\frac{p}q\),q ≠ 0.
(g) 0.232332333…. is irrational because it is a non-terminating, non-repeating decimal.
(h) \(5.2\overline{741}\) is rational because it is a non-terminating, repeating decimal.
