Put the steps in correct order to prove that if n is a perfect square, then n + 2 is not a perfect square. ___Hence n + 2 is not a perfect square. ___Solve ( m XXXXXXXXXXto obtain, ( m + 1) 2 = m 2 +...

Put the steps in correct order to prove that if n is a perfect square, then n + 2 is not a perfect square. ___Hence n + 2 is not a perfect square. ___Solve ( m + 1) 2 to obtain, ( m + 1) 2 = m 2 + 2 m + 1 = n + 2 m +1 > n + 2 + 1 > n + 2. ___If m = 0, then n + 2 = 2, which is not a perfect square. ___Assume that n = m 2 . ___The smallest perfect square greater than n is ( m + 1) 2 .

May 21, 2022
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