Check the validity of the statements given below by the method given against it.(i) p: The sum of an irrational number and a rational number is irrational (by contradiction method).(ii) q: If n is a real number with `n > 3`, then `n^2>9

Explanation

### Step-by-Step Solution:

**(i) Statement P: The sum of an irrational number and a rational number is irrational (by contradiction method)**

1. **Assume the contrary**: Let's assume the statement is false. That is, the sum of an irrational number and a rational number is a rational number.

2. **Choose an irrational number and a rational number**: Let’s take an irrational number, say \( \sqrt{2} \), and a rational number, say \( 3 \).

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