Q: What is the best decimal approximation for the square root of 82?

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11.532562594670795889354183238818 round to whatever decimal you want.

It is about 9.487 rounded to 3 decimal places

What approximation is "best" depends on the required level of accuracy.

11.5326

√40108 = 200.269817996

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11.532562594670795889354183238818 round to whatever decimal you want.

It is about 9.487 rounded to 3 decimal places

What approximation is "best" depends on the required level of accuracy.

11.5326

The square root of 72 is an irrational number and there is no such thing as a best approximation for any irrational number. By definition, all irrational numbers are represented by infinitely long decimal strings and it is always possible to improve the approximation by calculating the value to one more decimal place. 8.48528 should be sufficiently accurate for most purposes.

3.16227766 which is about 3.2

√40108 = 200.269817996

In radical form, 3* sqrt(41). The decimal approximation is 19.20937271.

The best answer is "sqrt(34)" since any rational or decimal representation must be an approximation. Any decimal representation can be improved by adding more decimal places. In practice, 5.831 is accurate enough.

it is exactly.........7.348469228349534, but to round it would be 7.3

which is the best approximation of

No. There is no way of expressing it with a fraction. Here is the approximation in decimal form: 3.8729833462074168851792653997824