Find two irrational numbers between 0.5 and 0.55.

1.	Find two irrational numbers between 0.5 and 0.55.
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 < 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.

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 < 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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