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About 44.6
Let's see: 402 = 1600. 502 = 2500. 452 = 2025. 442 = 1947.
The square root of 1992 is between 44 and 45. Since 2025-1992 = 33 and 1992-1947 = 45, it is closer to 45. 44.6 would be a good guess.
By using the square root key on a calculator, you get the exact value: 44.631827...
Another way to check this out is by factoring 1992: 1992 = 2x996 = 2x2x498 = 2x2x2x249 = 23x3x83. 83 is a Prime number so 1992 has been completely factored. Since you can't arrange the factors in two equal groups - as in 100 = (2x5)(2x5) - 1992 is not a perfect square.
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