Math  /  Word Problems

QuestionEstimate 31\sqrt{31} to two decimal places; it lies between \square and \square.

Studdy Solution
Finally, we consider the mid-point of the range [5.5,5.625][5.5,5.625], which is5.5625. Since 5.56252=30.941406255.5625^2 =30.94140625, which is less than31, we know that 31\sqrt{31} must be greater than5.5625. Therefore, we can now say that 31\sqrt{31} is in the range [5.5625,5.625][5.5625,5.625].
To two decimal places, 31\sqrt{31} must lie between5.56 and5.63.

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