You know that 50^2 is 2500 (using 5^2 is 25 and add 0's) and that 60^2 is 3600 (using 6^2 is 36 and adding 0's), so the answer must be between 50 and 60. It is a bit closer to 60, so I would say around 56.
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The estimate of the square root of 229 = ± 15 (actual square root is ± 15.132746).
The square root of 9 000 000 is 3000
The square root of 36 and the square root of 49.
Square root 64 and square root 81
The same way that you would for a rational number that is not a perfect square.