The difference of two irrational number is NOT always irrational. Let’s see with example

## Example one:

Lets have x and y as irrational numbers

Not to Check : x−y is rational or irrational.

Let x = √2 and y = √2 both are irrational

Now let’s calculate x- y

x-y=√2-√2=0

and 0 is rational.

## Another Example

*(**4**+**√**2**)** **and** **(**2**+**√**2**)** **are** **irrati**onal* numbers

Lets substract them

*(4+√2) – (2+√2)* = ?

*=** **4**–**2** **+**√**2**–**√**2*

*=2 {which is rational}*

So this proves that difference of two irrational numbers are not always an irrational number

so for the question

**The difference of two irrational number is —————- always irrational.**

**Answer is FALSE**