can someone help check my work or correct mine tell me if I'm wrong? rational and irrational numbers

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can someone help check my work or correct mine tell me if I'm wrong? rational and irrational numbers

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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First, correct, but wrong reason Second, correct and correct reason Third, correct but wrong reason Four correct and correct reason

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how are one 3 and 4 wrong reasons
4 is completely correct.
oh
oh it seems you think a fraction composed of integers only is irrational for some reason that is not true
1; both fractions are rational 3; you don't have any irrational
so 1 would be the sum of two rational is always rational
Right.
and 3 would be the same right or the product of
the product of 2 rationals is always rational
For 3, you have "\(\times\)" instead of "\(+\)"
So it's product, yeah.
ok that makes sense thanks @geerky42 @freckles
No problem
@geerky42 is this correct

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