8, square = 64
9, square = 81
10, square = 100
11, square = 121
12, square = 144
13, square = 169
14, square = 196
Thus the whole numbers would be 8, 9, 10, 11, 12, 13 and 14.
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Only 15^2 falls between 200 and 250.15^2 = 225.
Between 2,827 and 2,829
300
25 < 30 < 36 so that 52 < 30 < 62 196 < 200 < 225 so that 142 < 200 < 152 So the squares of the numbers 6, 7, ... 14 are the required numbers.
1,4,9,16,25,36,49,64,81,100,121,144,169,196.