Q. 145.0( 1 Vote )

Prove the following statement by contradication method.

p : The sum of an irrational number and a rational number is irrational.

Answer :

Let p is false, as the sum of an irrational number and a rational number is irrational.

Let is irrational and n is rational number




But, we know that is irrational where as (r-n) is rational which is contradiction.


Here, Our Assumption is False


Hence, P is true.


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