Question
Find two irrational numbers lying between $0.1$ and $0.12.$

Answer

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 $0.1010010001...$ and $0.11010010001...$ lying between $0.1$ and $0.12.$

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