Why is 0.111222333444..., where each number appears 3 times in a row irrational?

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Solution

Since in $0.111222333444....$ each number appears 3 times in a row is a non- terminating and non- recurring decimal expansion.

Hence, $0.111222333444....$ is irrational.

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Why is 0.111222333444..., where each number appears 3 times in a row irrational?

Since in 0.111222333444.... each number appears 3 times in a row is a non- terminating and non- recurring decimal expansion.Hence, 0.111222333444.... is irrational.

Since in $0.111222333444....$ each number appears 3 times in a row is a non- terminating and non- recurring decimal expansion.

Hence, $0.111222333444....$ is irrational.