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In Mathematics / High School | 2014-06-01

If the square root of 405, rounded to the nearest thousandth, is 20.125, how do you simplify to get to that answer? Thank you.

Asked by michellewilliam

Answer (2)

405 ​ = 81 ⋅ 5 ​ = 81 ​ ⋅ 5 ​ = 9 5 ​ ≈ 9 ⋅ 2.23606 = 20.12454 ≈ 20.125

Answered by Anonymous | 2024-06-10

The square root of 405 can be simplified to 9 5 ​ , which approximates to 20.124611. When rounding to the nearest thousandth, it becomes 20.125. Therefore, 405 ​ rounded to three decimal places is 20.125.
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Answered by Anonymous | 2024-12-24