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

`(i)` It is given that,

`p:` the sum of an irrational number and a rational number is irrational

Now, let us suppose that the given statement `p` is false.

It means that the sum of an irrational number and `sqrta` rational number is rational.

Then, it can be stated that,

`sqrta+b/c=d/e` `...(i)`

Where, `a` is an irrational number and `b,c,d,e` are rational numbers.

Now, from `eq^n(i)`,

...