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Question
Find one irrational number between 0.2101 and 0.222... = `0.bar2`
Solution
Let
a = 0.2101
b = 0.2222... = `0.bar2`
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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