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Check the validity of "The sum of an irr...

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

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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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