Question

Let x And y be rational and irrational numbers respectively is x + y necessarily an irrational number give an example in support of your answers

Answer 1

Step-by-step explanation:

Yes the addition of rational and irrational number will give you an irrational number only.

e.g. 2.88888....+1=3.88888......

Answer 2

Step-by-step explanation:

if we suppose x = 2 and y =2root2

therefore

the sum x+y = 2+ 2 root 2 and this no. is irrational

hence

sum of irrational and rational is always irrational ....

I Hope this will help you

Mark as a ..................