Find two irrational numbers lying between 0.1 and 0.12.

Given: 

Given rational numbers are 0.1 and 0.12.

To do: 

We have to find two irrational numbers between the given numbers.

Solution:

A rational number can be expressed in either terminating decimal or non-terminating recurring decimals and an irrational number is expressed in non-terminating non-recurring decimals.

We can insert infinite irrational numbers between two rational numbers.

Therefore,

$0.1010010001…., 0.1100111000….$ are less than $0.12$ and greater than $0.1$.

Two irrational numbers between the rational numbers $0.1$ and $0.12$ are $0.1010010001....$ and $0.1100111000…$.  

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Updated on: 10-Oct-2022

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