Prove the following statement by contradiction method.
p: The sum of an irrational number and a rational number is irrational
Let p is false, as the sum of an irrational number and a rational number is irrational.
Let √λ is irrational and n is rational number
√λ + n = r
√λ = r – n
But, we know that √λ is irrational whereas (r-n) is rational which is contradiction.
Here, Our Assumption is False
Hence, P is true.