There is no real way to find a square root of any number mentally.
The best way to estimate is to think of easy squares near the number.
312 = 961, and 322 = 1024, so the square root of 983 has to be between those two.
Using a calculator, we can find that it's 31.35
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Press the square root button on your calculator.
The square root of 1225 is 35.
square root(105) = 10.2469508
The square root of 8649 is 93.
The square root of 289 is ± 17.