Math  /  Numbers & Operations

QuestionUse a calculator to approximate the square root. Check to see that the approximation is reasonable. 72\sqrt{72} 72\sqrt{72} \approx \square (Round to the nearest thousandth as needed.)

Studdy Solution
Verify the approximation by squaring 8.485 8.485 to check if it is close to 72 72 .
8.485271.995225 8.485^2 \approx 71.995225
Since 71.995225 71.995225 is close to 72 72 , the approximation is reasonable.
The approximation of 72 \sqrt{72} rounded to the nearest thousandth is:
8.485\boxed{8.485}

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