Question

prove that the product of two consecutive even numbers added to 1 gives a perfect square​

Answer 1

Answer:

While the other proofs are correct, here is the best proof: 2n*(2n+2) = 4n(n+1). Since 4 is a perfect square, we just need to show that n(n+1) isn’t a perfect square. Since n(n+1) is strictly between two consecutive perfect squares, n^2 and (n+1)^2, it can’t itself be a perfect square.

Answer 2

Step-by-step explanation:

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