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Question

Classify the following number as rational or irrational:-
(i) 25
(ii) (3+23)23
(iii) 2777
(iv) 12
(v) 2π

Solution
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(i) 25:
Since 5 is an irrational number, 25 is also an irrational number.

(ii) (3+23)23:
(3+23)23 =3+2323=3, which is a rational number.

(iii) 2777=27:
2777=27, which is a rational number.

(iv) 12:
Since 2 is an irrational number, 12, which is also an irrational number.

(v) 2π:
Since π is an irrational number, 2πis also an irrational number

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