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This can't be proved because it is not necessarily true.

If x is 2 and y is 1 then x-y is 1, which is rational.

The product of 2x and 3y is 12, which is also rational.

Sadly, you can't disprove it either; for certain values of x,y it is true as posited.

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Q: Give x-y is rational number prove that 2x 3y is irrational number?
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