give examples of 2 irrational numbers whose sum and product both are ratinals
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Step-by-step explanation:
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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"The sum of two irrational numbers is SOMETIMES irrational."
The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational.
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.
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