Find two irrational numbers between 0.5 and 0.55.

Let a = 0.5 = 0.50

And, b = 0.55


We observe that in the second decimal place a has digit 0 and b has digit 5. Therefore a < b. So, if we consider irrational numbers


x = 0.51051005100051…


y = 0.5305343055353530…


We find that,


a < x < y < b


Hence, x and y are required irrational numbers.


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