Answer :
(i) Assume that the given statement p is false.
So, the statement becomes the sum of an irrational number and a rational number is rational.
Let us take for example,
Where √p is irrational number and q/r and s/t are rational numbers.
Then, is a rational number and √p is an irrational number.
This is a contradiction.
∴The assumption we made is wrong.
Thus, the given statement p is true.
(ii) Assume that the given statement q is false.
So, the statement becomes if n is a real number with n > 3, then n2 < 9.
From the given statement, we know that n > 3 and n is a real number.
Squaring on both sides, we get
⇒ n2 > 32
⇒ n2 > 9
This is a contradiction.
∴The assumption we made is wrong.
Thus, the given statement q is true.
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