Question

14.11 x and y are rational and irrational numbers respectively. then is x+y
necessarily an irrational number? Justify your answer.​

Answer 1

Answer:

Yes it is necessary.

Step-by-step explanation:

let x be 2 and y be √3 . 2+√3 can't be further solved. so it is an irrational.

Answer 2

Answer:

Yes, it is necessary

Step-by-step explanation:

For example,

(i ) 2 is a rational number and √2 is an irrational number and the sum of them which is 2+√2 is a complex number which comes in the category of irrational number.

## The sum of an irrational and a rational number is always an irrational number.

## But the sum of two irrational number need not to be an irrational number.