1. √23
  2. √225
  3. 0.3796
  4. 7.478478…
  5. 1.101001000100001….

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(i) √23 = 4.79583152331… Since, the number is non-terminating and non-recurring hence, it is an irrational number

(ii) √225 = 15 = 15/1 It is a rational number as it can represented in the form of p/q

(iii) 0.3796 Since, the number is terminating number. Therefore, it is a rational number

(iv) 7.478478 = 7.4͞7͞8 Since, the number is non-terminating recurring number. Therefore, it is a rational number

(v) 1.101001000100001… Since, the number is non-terminating non-repeating. Hence, it is an irrational number

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