Classify as rational or irrational numbers 0.128128
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i) √23
√23 = √23/1 = p/q, but p is not an integer.
Hence √23 is an irrational number.
ii) √225
√225 = 15/1 = p/q, where p and q are integers and q ≠ 0.
Hence √225 is a rational number.
iii) 0.3796
0.3796 is a rational number because it is a terminating decimal number.
iv) 7.478478...
7.478478... is a rational number as it is a non-terminating recurring decimal i.e, the block of numbers 478 is repeating.
v) 1.101001000100001 . . . .
It is an irrational number because it is a non-terminating and non-recurring decimal.
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