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Question

Which of the following numbers is an irrational number?

A
14.22222222222.....
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B
13.345345.....
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C
12.123826121625
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D
15.273168.....
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Solution

The correct option is D 15.273168.....
Irrational numbers has non-terminating and non-recurring decimal expansion.

14.222222222.... is a non terminating but recurring decimal, i.e. rational number.

13.345345..... is a non terminating but recurring decimal, i.e. rational number.

12.123826121625 is a terminating decimal, i.e. rational number.

15.273168..... is non-terminating and non-recurring decimal, i.e. irrational number.



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