1024
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1,000 is a not perfect square.
No
312 = 961
The square root of any non-perfect square is an irrational number. Since sqrt(1000) = 10 sqrt(10), it is irrational.
None. √1976 is "44 and a bit" → first perfect square ≥ 1976 is 452 = 2025 As 1976 is not a perfect square and the first perfect square greater than 1976 is 2025, and 2025 is greater than 2013, there are no perfect squares from 1976 to 2013.