Square numbers are numbers multiplied by themselves.
12 = 1
22 =4
32 = 9
42 = 16
5 2 =25
6 2 =36
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1.4.9.16.25.36
The first seven square numbers would be the square of the first seven numbers, zero through 6. 0*0=0, 1*1=1, 2*2=4, 3*3=9, 4*4=16, 5*5=25, 6*6=36. So the answer would be: 0, 1, 4, 9, 16, 26, and 36.
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.
To figure this out, I always start with square roots I know, and that are close to 47. So, first, I would figure out that the square root of a number such as 36 is 6. The square root of 49 is 7. Now, since there are no other whole numbers between 6 and 7, and the square root of 47 falls between the square root of 36 and 49, we can say that the square root of 47 is between the whole numbers 6 and 7.
The first nine positive integer square numbers are: 1 - 1 2 - 4 3 - 9 4 - 16 5 - 25 6 - 36 7 - 49 8 - 64 9 - 81