Classify the following numbers as rational or irrational: (i) √23 (ii) √225 (iii) 0.3796 (iv) 7.478478... (v) 1.101001000100001...

Solve the given expressions
(1) √23 = 4.795831523..
The decimal expansion is non-terminating non-recurring.
∴ √23 is an irrational number
(2) √225 = 15
∴ √225 is a rational number
(3) 0.3796 is the decimal expansion is terminating. So 0.3796 is a rational number
(4) 7.478478.. = 7.̅4̅7̅8̅ is the decimal expansion is non-terminating and recurring. 7.478478.. is a rational number
(5) 1.101001000100001.. is the decimal expansion is non-terminating and non-recurring. 1.101001000100001.. is an irrational number