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Question
Write a pair of irrational numbers whose difference is irrational.
Solution
`(sqrt(3) + 2) and (sqrt(2) - 3)` are irrational numbers whose difference is irrational.
Thus, we have
`(sqrt(3) + 2) - (sqrt(2) - 3)`
= `sqrt(3) + 2 - sqrt(2) + 3`
= `sqrt(3) - sqrt(2) + 5`, which is irrational.
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