There are two, actually - 121 and 144. 121 is 11 x 11, and 144 is 12 x 12.
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The square numbers closest to 99 and 149 are 100 (10^2) and 144 (12^2), respectively. The square number between 100 and 144 is 121 (11^2), as it falls between the square roots of 100 and 144. Thus, the square number between 99 and 149 is 121.
101 103 107 109 113 127 131 137 139 149
The square root of 149 will be between 12 and 13, closer to 12. 12.1 is too low, 12.3 is too high. Go with 12.2
61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149.
-149 IS a real number.