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1. (25 ????????????????????????) Consider the following statement: rational numbers ???? & ????, ???? ???? is rational. a) (7 ????????????????????????) Prove that the above statement is

1. (25 ????????????????????????) Consider the following statement:

rational numbers ???? & ????, ???? ???? is rational.

a) (7 ????????????????????????) Prove that the above statement is false.

b) (18 ????????????????????????) Fill in the blank that makes the statement true & then prove the resulting statement: rational numbers ???? & ????, if ___________________ ,then ???? ???? is rational.

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