**Question:**

** Prove the following statement by contradiction method.**

**p: The sum of an irrational number and a rational number is irrational**

**Solution:**

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.