An irrational number is a number which cannot be expressed as the ratio of two real numbers. They have a non terminating and non repeating value.
Now for above question;
0.5= √(0.25)
0.55= √(0.3025)
now 2 irrational n.o between 0.5 and 0.55 are
√(.28)= 0.529150262......
√(.29)= 0.53851648......
I have randomly selected 2 there can be infinite