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Question
Are there two distinct irrational numbers such that their difference is a rational number? Justify
Solution
Taking two irrational numbers as `3 + sqrt(2)` and `1 + sqrt(2)`
Their difference is a rational number.
But if we take two irrational numbers as `2 - sqrt(3)` and `4 + sqrt(7)`.
Their difference is again an irrational number.
So unless we know the two irrational numbers
We cannot say that their difference is a rational number or irrational number.
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