A simple proof for root2 is irrational
If root2 is rational
then
root2=a/b, where a and b has no common factor other than 1 or a and b are prime to each other , b≠1
Squaring both side
2=(a*a) / (b*b)
Multiplying both side by b
2b=a*a/b ----------(A)
Here left side is an integer and right side never be an integer [since a*a and b are also prime to each other]
Hence, statement (A), is false it implies that root2 is irrational
