How to prove that root 2 is irrational

Proof irrational number How to prove 0.12345678910111213... ……… ... Is irrational? What does the Niedar on the 7th floor mean by "the number of cycles must be all 0"?

Prove: If the number is a rational number, then it is obviously an infinite repeating decimal.
Suppose its cyclic node has n bits.
Then, according to the character of this number, it must have the number 100...0(n zeros) in the decimal part.
According to the definition of cyclic section, the cyclic section of this number must be 0.
So it is irrational.

Prove: If the number is a rational number, then it is obviously an infinite number.
Suppose its cyclic node has n bits.
Then, according to the character of this number, it must have the number 100...0(n zeros) in the decimal part.
According to the definition of cyclic section, the cyclic section of the number must be 0.
So it is irrational.

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