[Solved] The difference of two irrational number is ____

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 irrational 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

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