Yes, it is possible to arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number. This is known as a "smullyan magic square." The arrangement is as follows: 16, 1, 15, 10, 6, 11, 5, 14, 2, 7, 9, 12, 4, 13, 3, 8, 17. Each adjacent pair in this arrangement adds up to a square number.
16
17, 8, 1, 15, 10, 6, 3, 13, 12, 4, 5, 11, 14, 2, 7, 9, 16
4 and 9
No - but it is a square number. 1,3,6,10,15,21 & 28 are all triangular numbers. 1,4,9,16,25 & 36 are all square numbers.
Square numbers formed when two same numbers multiply together and the answer is the square number. For example: 6 x 6=36, 6 and 6 are the same number, therefore 36 is a square number.
No. (There is no way that you could arrange 104 tiles into a square. The closest square numbers are 100 and 121.)
No, the two adjacent square numbers are 10^2 or 100 and 11^2 or 121
By the fact that a 'SQUARE' has two sides the same length!!!!!
16
17, 8, 1, 15, 10, 6, 3, 13, 12, 4, 5, 11, 14, 2, 7, 9, 16
You can take 4 counters, and arrange them in a square. 0 0 0 0 (2x2) You can also do it with 9 counters 0 0 0 0 0 0 0 0 0 (3 x 3) Any number that you can arrange in a square like this is a square number, like 16 (4x4), 25 (5x5), 36 (6x6) etc. 1 is also a square number (1x1) What are triangular numbers? :)
yes because square numbers have to be hole numbers to be square
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16 is a perfect square because you can arrange exactly 16 balls or matches or circles in a square with equal sides. Refer to the diagram below.* * * ** * * ** * * ** * * *See the sides. There are exactly 4 stars on each of the sides. 4 x 4 = 16. That is how you can tell if something is a square number. 1 x 1 = 1. 2 x 2 = 4 and so on. Any number which you can arrange into a perfect square is a square number. That is why they are called square numbers int eh first place.
Square numbers have an odd number of factors.
The adjacent sides of a square are perpendicular.
When a number is multiplied by itself it is called the square of the number. It is called a square number as the number of dots or points represented by the number can be arranged in a square.