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2\sqrt{6}\sqrt{3}
Divide 8\sqrt{6} by 4 to get 2\sqrt{6}.
2\sqrt{3}\sqrt{2}\sqrt{3}
Factor 6=3\times 2. Rewrite the square root of the product \sqrt{3\times 2} as the product of square roots \sqrt{3}\sqrt{2}.
2\times 3\sqrt{2}
Multiply \sqrt{3} and \sqrt{3} to get 3.
6\sqrt{2}
Multiply 2 and 3 to get 6.