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.
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72
6 root 2 or 8.485281374
√-72 = i√(622) = i6√2
6 *sqrt(2)
72.0