Question: SET B Proofs (5 points each) Prove that the product of two even integers is divisible by 4. Prove that if n is divisible by

SET B Proofs (5 points each) Prove that the product of two even integers is divisible by 4. Prove that if n is divisible by 12, then n is divisible by both 3 and 4. Prove: If n^2 is not divisible by 7, then n is divisible by 7. Prove that 3 is irrational Prove that for any integer n, n^21 or 4 (remainder of 8) Prove by mathematical induction that: 1 + 2 + 3 + ... + n= (n(n+1))/2

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