Question

let x be a rational number and y be an irrational number.is x + y necessarily an irrational number?

Answer 1

yes x + y is irrational number

example : 2 is rational but √2 is irrational

2+√2 is irrational number

here is ur answer

I hope it helps you

Answer 2

Answer:

Yes, x + y is irrational number  

Step-by-step explanation:

Given x be a rational number and y be an irrational number.

we have to tell is x + y necessarily an irrational number.

By definition, an irrational number in decimal form goes on without repeating and a rational number in decimal form either terminates or repeats.

Hence, their sum also goes forever without repeating.

"The sum of a rational number and an irrational number is irrational."

Eg : 3 is rational but √3 is irrational  

3+√3 is irrational number  

∴ If x be a rational number and y be an irrational number then x + y is irrational number.