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Square root of 466466

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Q. Square root of 466466
  1. Understand the problem: Understand the problem.\newlineWe need to find the square root of the number 466466. The square root of a number is a value that, when multiplied by itself, gives the original number.
  2. Estimate the square root: Estimate the square root.\newlineSince 466466 is between the perfect squares of 21221^2 (which is 441441) and 22222^2 (which is 484484), we can estimate that the square root of 466466 is between 2121 and 2222.
  3. Use calculator or algorithm: Use a calculator or a square root algorithm to find the square root of 466466. Using a calculator, we find that the square root of 466466 is approximately 21.58703314492290221.587033144922902.
  4. Check for errors: Check for any mathematical errors.\newlineWe can square the result to check if it is close to 466466. (21.587033144922902)2466.00000000000006(21.587033144922902)^2 \approx 466.00000000000006, which is very close to 466466, indicating that there are no mathematical errors.

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