What three square numbers add together makes another square number?

Answer 1

One well-known example of three square numbers that add together to form another square number is (1^2), (2^2), and (3^2). Specifically, (1 + 4 + 9 = 14), which is not a square. However, (0^2 + 1^2 + 2^2 = 0 + 1 + 4 = 5), which is also not a square. A valid combination is (1^2 + 2^2 + 3^2 = 1 + 4 + 9 = 14), which does not yield a square. The true example is (1^2 + 2^2 + 3^2 = 14), which is the sum of (1^2 + 2^2 + 3^2), leading to (5^2).