Question:
Find two irrational numbers lying between 0.1 and 0.12.
Solution:
Let
$a=0.1$
$b=0.12$
Here a and b are rational number. So we observe that in first decimal place a and b have same digit. So a < b.
Hence two irrational numbers are $0.1010010001 \ldots$ and $0.11010010001 \ldots$ lying between $0.1$ and $0.12$.
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