Question

Which of the following numbers is irrational?

• A. 0.0834508345….
• B. 0.89633337006….
• C. 0.964964964….
• D. 0.843884388438….

Answer 1

The correct option is B

0.89633337006….

A number whose decimal expansion is terminating or non-terminating recurring is called a rational number. On the other hand, a number whose decimal expansion is non-terminating and non-recurring is called an irrational number.

It is seen that the number 0.89633337006…. has a non-terminating and a non-recurring decimal expansion.

Thus, 0.89633337006…. is an irrational number.