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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