Check the validity of the statement given below by contradiction method. `p :` The sum of an irrational number and a rational number is irrational.

Explanation

(i) The given statement is as follows,

p : the sum of an irrational number and a rational number is irrational

Let us assume that the given statement p is false.
That is we assume that the sum of an irrational number and a rational number is rational.

Therefore `sqrt(a)
+b/c​=d/e​` where a
​ is irrational and b,c,d,e are integers

`d/e​−b/e`​ is a rational number and a

​ is an irrational number.

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