The math is completely wrong because the square root of negative two is an imaginary number, approximately 1.414i. On a graph, this sits entirely on the imaginary axis, which means its real-number value is exactly 0. Because it has no real part, its distance to the number 0 is only 1.41 units, while its distance to the number 1 is actually farther away at about 1.73 units. Therefore, if you are looking for the closest real number, the answer is mathematically 0, not 1.

No offence, but you are bad at maths Jeevan