Question

let x and y be rational and irrational numbers respectively.Are x+y and xy irrational ? Justify your answer by an example for each.​

Answer 1

Answer:

Yes.

Let x =21,y=

2

be a rational number

Now x+y=21+

2

=21+1.4142....=22.4142.... , which is non-terminating and non-recurring. Hence x+y is irrational.

Answer 2

Answer:

This is the correct answer for the question