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23/05/2021 1:03 pm
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Classify the following numbers as rational or irrational according to their type:
(i) √23
(ii)√225
(iii) 0.3796
(iv) 7.478478
(v) 1.101001000100001…
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23/05/2021 1:04 pm
(i) √23
√23 = 4.79583152331…
Since the number is non-terminating non-recurring therefore, it is an irrational number.
(ii) √225
√225 = 15 = 15/1
Since the number can be represented in p/q form, it is a rational number.
(iii) 0.3796
Since the number, 0.3796, is terminating, it is a rational number.
(iv) 7.478478
The number, 7.478478, is non-terminating but recurring, it is a rational number.
(v) 1.101001000100001…
Since the number, 1.101001000100001…, is non-terminating non-repeating (non-recurring), it is an irrational number.