Give an example
of two irrational numbers whose sum and product both are rationals irrational number and sum is rational and irrational and product is rational and irrational
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Normally, sum of any two irrational numbers is an irrational number. However, consider √2 and -√2. Their product is -2 and sum is 0, both of which are rational numbers. Thus, there can be numbers whose sum and product both are rationals.
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