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.
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.
No, it is not even a real number. The square root of negative 5 is the square root of 5, times i.
-12
Think! What if the magic square had an even number of cells. There's your answer.
The square of 5 is 25 ... an integer, rational.
Square root of 25 = 251/2 = 5, which is an integer. So the square root of 25 is integer.
Well, the square root of 25 is five, and 5 is an integer, yes.
No, it is not.The square root of any positive integer is eitheran integer orirrational
Just take any magic square, and multiply every number by 5. Here you will get another magic square with all numbers multiples of 5.
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.
Yes because -10/5 = -2 which is an integer because it is a whole number
no.No. The square root of 5 is an irrational number. The two closest numbers with integer square roots are 4 (with a square root of 2) and 9 (with a square root of 3). Since there are no integers between 2 and 3 and 5 lies between 4 and 9, it's pretty evident that it can't have an integer square root.
maybe
No, it is not even a real number. The square root of negative 5 is the square root of 5, times i.
-12
Think! What if the magic square had an even number of cells. There's your answer.