Question

3. Let x be a rational number and y be an irrational number. Is x+y necessarily an irrational number? Give an example in support of your
answer.​

Answer 1

Answer:

Yes ,(x+y) is necessarily an irrational number . if possible, let x+y =2 +√3 be a rational number. So, a is rational ⇒a2-74 is rational ⇒√3 is rational.