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

9. Classify the following numbers as rational or irrational:

(i) 23 (ii) 225
(iii) 0.3796 (iv) 7.478478 ..........
(v) 1.101001000100001 ..........

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 8741 Points
8 months ago
(i) 23 is irrational number because 23 is prime number and prime number is not a perfect square root. (ii) 225 is rational number because 225 = 15, rational number. (iii) 0.3796, terminating decimal, so rational number. (iv) 7.478478 .......... = 7.478, non-terminating repeating (recurring), so rational number. (v) 1.101001000100001 .......... non-terminating non-repeating, so irrational number.

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