Q1 of 40 Page 34

Which of the following is an irrational number?

An irrational number is a number that cannot be expressed as a fraction for any integers p and q and q ≠ 0.


.


Since it can be written as ,


it is a rational number.


is a rational number because it is a non-terminating but repeating decimal.


is a rational number because it is a non-terminating but repeating decimal.


0.101001000.... is an irrational number because it is a non-terminating and non-`repeating decimal.


Therefore, 0.101001000.... is an irrational number.

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