Take any valid 4 x 4 magic square. For example:
9 6 3 16
4 15 10 5
14 1 8 11
7 1 10 16
Decrease every number by 6, so that the smallest number you will find in the square is -5, and the largest number in the square will be 10. This is a valid magic square for the set of numbers given and can be rotated any of four ways, and reflected either of two ways.
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Well, the square root of 25 is five, and 5 is an integer, yes.
10 = 2*5 (prime decomposition)So for a power of 10 to be a square means that the powers its factors must be even. A power of 10 is a square if it contains an even number of factors of 2 and 5. Since 503 is an odd number, 10^503 has an odd number of powers of 2 and 5, so it can't be the square of an integer.
-12
No, it is not even a real number. The square root of negative 5 is the square root of 5, times i.
Think! What if the magic square had an even number of cells. There's your answer.