Prove or disprove each of the following statements.

1. The product of two irrational numbers is irrational.

2. No square number gives a remainder of 2 when divided by 3.

3. For all positive integers n

4. There are infinitely many primes p such that p+2 and p+4 are also prime.

5. Given n squares of arbitrary size it is always possible to dissect the squares into pieces that will combine into a single larger square.

Prove or disprove each of the following statements.

1. The product of two irrational numbers is irrational.

2. No square number gives a remainder of 2 when divided by 3.

3. For all positive integers n

4. There are infinitely many primes p such that p+2 and p+4 are also prime.

5. Given n squares of arbitrary size it is always possible to dissect the squares into pieces that will combine into a single larger square.

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