(i) √23 (ii) √225 (iii) 0.3796 (iv) 7.478478… (v)1.101001000100001…
Answer:
(i) √23
√23 = 4.795831523…
Since the decimal expansion is non-terminating and nonrecurring. Therefore, √23 is an irrational number.
(ii) √225
√225 = 15
Therefore, √225 is a rational number.
(iii) 0.3796
0.3796 is a terminating decimal, therefore, it is a rational number.
(iv)7.478478…
7.478478… is repeating and non-terminating, therefore it is a rational number.
(v)1.101001000100001….
The given decimal form is non-terminating and non-repeating; therefore, it is an irrational number.