'9' . It is three squared. 3 x 3 = 3^2 = 9
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The square root of 88 lies between the integers 9 and 10. This is because (9^2 = 81) and (10^2 = 100), so (9 < \sqrt{88} < 10). Therefore, the two integers that the square root of 88 lies between are 9 and 10.
92 = 81 and 102 = 100 so the square root of any number between 81 and 100 would lie between 9 and 10.
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.
The square root of 82 lies between 9 and 10, closer to 9.
17The prime numbers between 10 and 20 are 11, 13, 17 and 19. There is only one square number between 10 and 20: 16. Using the criteria given, the number that fits is 17.