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Question

Which of the following is an irrational number?

A
227
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B
3.141592
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C
2.78181818
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D
0.123223222322223.......
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Solution

The correct option is D 0.123223222322223.......
An irrational numberis any real number that cannot be expressed as a ratio of integers or represented as terminating or repeating decimals.

(A) 227 is a rational number.

(B) 3.141592 is a terminating decimal.

(C) 2.78181818 is a terminating decimal.

But (D) 0.123223222322223...... is a non-terminating and non-repeating decimal. Therefore, it is an irrational number.

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