Question

the difference of a rational and irrational may be an irrational number

Answer 1

hey friend,here's your answer:

let's take a rational number 2.
And an irrational number square root 2 =1.41........
so when we subtract them we get 2-square root 2 which is also irrational .
thus 2-square root 2 is an irrational number which is formed by subtracting a rational and an irrational number.

hope ut helps
#aditya