1.

Check the validity of "The sum of an irrational number and a rational number is irrational " by contradiction method.

Answer»

Solution :Let the given STATEMENT is false. i.e. the SUM of an irrational NUMBER and a rational number is rational.
implies An irrational number + a rational number = a rational number implies An irrational number =A rational number + rational number = A rational number
Which is absurd.
`:.` We arrive at a contradiction.
This is due to our false assumption THUS, the given statement is TRUE.


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