give an example of two irrational numbers whose sum and product both are rational
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The answer is 2+√2 and 2-√2.
2+√2+2-√2
4 which is rational.
(2+√2)(2-√2)
2(2-√2)+√2(2-√2)
4-√2+√2-√4
4-2
2 which is rational
2+√2+2-√2
4 which is rational.
(2+√2)(2-√2)
2(2-√2)+√2(2-√2)
4-√2+√2-√4
4-2
2 which is rational
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