Question

find one irrational number between 1.3333... and 1.4444...​

Answer 1

Answer:

0.22010010001..

Step-by-step explanation:

Given Numbers are 0.2101 which is terminating decimal and 0.22222__ which is non terminating recurring decimal.

⇒ Irrational Numbers are non terminating and nonrecurring decimals

In between 0.2101 and 0.2222..., we can find 0.220

Now,

  We can write the irrational number as given in the above figure →

REF. IMAGE

Hence 0.2201001000100001.... is an irrational number that lies in between 0.2101 and 0.2222.