Find two irrational numbers between 0.5 and 0.55. - Vidyadip

Question

Find two irrational numbers between 0.5 and 0.55.

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Answer

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 < 0 so, if we consider irrational numbers
x = 0.51051005100051...
y = 0.530535305353530...
We find that a < x < y < b
Hence x and y are required irrational numbers.

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