Prove that √2 is not a rational number by long division method.

Let us find the square root of 2 by long division method

Clearly, the decimal representation of √2 is neither terminating nor repeating. Hence, it is not a rational number.

Prove that √2 is not a rational number by long division method.

Clearly, the decimal representation of √2 is neither terminating nor repeating. Hence, it is not a rational number.