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