Question

find an irrational number between root 5 and root 6​

Answer 1

value of root 5= 2.2360......
value of root 6= 2.4494......
Therefore, any 2 rational numbers between these two would be 
2.35 and 2.37

Answer 2

Value of root 5= 2.2360......

value of root 6= 2.4494......

Therefore, an irrational number between these two will be

2.3456.......

or

2.2460.....

Hope it helps!