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prove each of the following statements or explain why it is false: 1. If x is irrational and y is irrational then xy is irrational.

prove each of the following statements or explain why it is false:

1. If x is irrational and y is irrational then xy is irrational.

2. If x is irrational and y is irrational then x + y is irrational.

3. If x is irrational and y is irrational then x^y is irrational.

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