Question

Prove by ta that sum of two irrational numbers is not always an irrational number

Answer 1

let x be an irrational number then -x is also an irrational number ( As negative of an irrational number is also an irrational number )

Sum of Irrational numbers = x + ( - x )
= 0 , Which is Rational num.

Thus Sum of two irrational number is not always an irrational number.