6.(i) Check the validity of the statement 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).
Assume that the given statement p is false.
The statement becomes: The sum of an irrational number and a rational number is rational.
Where is irrational number and and are rational numbers.
is a rational number and is an irrational number, which is not possible.
This is a contradiction.
Hence our assumption is wrong.
Thus, the given statement p is true.
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