Question

is 2.010010001... rational or irrational?

Answer 1

Answer:

it is irrational number

Answer 2

It is an Irrational Number!

Step-by-step explanation:

A rational number between 2 and 3 is (2 + 3) / 2 = 5 / 2 = 2.5.

Also, 2.1 (Terminating Decimal) is a rational between 2 & 3.

Again, 2.010010001… (is a non-terminating & non-recurring decimal) is an irrational number between 2 & 3.

Considering the Given question of 2.010010001, 2 & 3 gives a rational number, as (2 + 3) / 2 gives 5 / 2 which is equal to 2.5 which is a rational number.  

Also 2.1 (terminating decimal) is a rational between 2 & 3.

Finally, 2.010010001..is an irrational number in between 2, 3 (a non-repeating and also non-terminating decimal)