Prove or disprove each of the following statements. 1. The product of two irrat

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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