Question

find two irrational numbers between 2 by 5 and 5 by 6.​

Answer 1

for 5 by 6 is,

first irrational number between 5 and 6 is 5.10100100010000........

and second irrational number between 5 and 6 is 5.20200200020000.........

for 2 by 3 is,

First Method

The two irrational numbers between 2 and 2.5 can be taken as

2.101001000100001......

and 2.201001000100001.......

Second Method

Note: If a and b are two distinct positive rational numbers such that ab is not a perfect square of a rational number, then  is an irrational number lying between a and b.

∴ An irrational number between 2 and 2.5



Similarly, an irrational number between 2 and 

∴ Two irrational numbers between 2 and 2.5 are  and 

try this method