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Answer:

let us assume that x which is a rational number is 8

And y which is an irrational number is 5.12

On subtracting x and y ,

8-5.12=2.88 which is irrational

Here we take another example

Consider x = 15 and y= 5.79

Then the value of x and y will be 15 - 5.79= 20.79

These above two examples shows that the subtraction of an irrational and rational number leads to an irrational number. So we can conclude that x-y is an irrational number.