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Find one irrational number between 0. 21...

Find one irrational number between `0. 2101\ \ a n d\ \ 0. 2222 =0. 2`

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Let
`a = 0.2101
b = 0.2222...`
Here a and b are rational numbers .
Since a has terminating and b has repeating decimal.
We observe that in second decimal place a has `1` and b has `2`. So `a < b`.
Hence one irrational number is `0.220100100010000...` lying between `0.2101` and`0.2222`...
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