Classify the following numbers as rational or irrational:.
(a) √23.
(b)√225.
(c)0.3796.
(d)7.478478......
(e)1.101001000100001......
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Classify the following numbers as rational or irrational:.
(a) √23.
(b)√225.
(c)0.3796.
(d)7.478478......
(e)1.101001000100001......
I will mark the best answer as brainliest....... Spam answers will be reported......
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Answer:
1) irrational
2) rational (15)
3) rational
4) rational
5) irrational
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(i) 23 is not a perfect square values so that, it is an irrational number.
(ii)√(225) = √(3*3*5*5)
Pairs comes outside the root and we get
√(3*3*5*5) = 15
That means 225 is a perfect square value so it a rational number
(iii) 0.3796
The decimal expansion of above number is terminating, so that it is a rational number.
(iv) 7.478478 … = 7.478
The decimal expansion of above number is non-terminating recurring, so that, it is a rational number.
(v) 1.10100100010000 …
The decimal expansion of above number is non-terminating non-repeating, so that , it is an irrational number.
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