Question

Which of the following is an irrational number?

Options

• 0.17

• 1.513 

• 0.2746 

• 0.101001000.....

Answer 1

0.101001000.....

Explanation:

Since,

0.17 has a terminating decimal expansion, so, it is rational number;

1.513 has non-terminating recurring decimal expansion, so, it is rational number;

0.2746  has non-terminating recurring decimal expansion, so, it is rational number; 

0.101001000..... has non-terminating, non-recurring decimal expansion, so, it is irrational number;