The difference between the square root and the cube root of the number \(729 \times 64\) is:
180
The number is \(729 \times 64\), and since \(729 = 27^2\) and \(64 = 8^2\), the square root is \(27 \times 8 = 216\).
Also, since \(729 = 9^3\) and \(64 = 4^3\), the cube root is \(9 \times 4 = 36\).
The difference between the square root and the cube root is \(216 - 36 = 180\).
Hence, the difference is \(180\).
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