Understand the problem: Understand the problem.We need to find the square root of the number 466. The square root of a number is a value that, when multiplied by itself, gives the original number.
Estimate the square root: Estimate the square root.Since 466 is between the perfect squares of 212 (which is 441) and 222 (which is 484), we can estimate that the square root of 466 is between 21 and 22.
Use calculator or algorithm: Use a calculator or a square root algorithm to find the square root of 466. Using a calculator, we find that the square root of 466 is approximately 21.587033144922902.
Check for errors: Check for any mathematical errors.We can square the result to check if it is close to 466. (21.587033144922902)2≈466.00000000000006, which is very close to 466, indicating that there are no mathematical errors.
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