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Classify the following numbers as rational or irrational :
(i) √23 (ii) √225
(iii) 0.3796 (iv) 7.478478......
(v) 1.101001000100001.....
(i) √23 is irrational number because 23 is not a perfect square.
(ii) √225 = √3×3×5×5
= 3 × 5 = 15
Hence, √225 is a rational number.
(iii) 0.3796 is terminating, so 0.3796 is a rational number.
(iv) 7.478478... is non terminating repeating decimal. So it is a rational number.
(v) 1.101001000100001... is non-terminating non-recurring decimal. So, it is an irrational number.
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