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9\times 4\sqrt{3}-9\sqrt{3}
Factor 48=4^{2}\times 3. Rewrite the square root of the product \sqrt{4^{2}\times 3} as the product of square roots \sqrt{4^{2}}\sqrt{3}. Take the square root of 4^{2}.
36\sqrt{3}-9\sqrt{3}
Multiply 9 and 4 to get 36.
27\sqrt{3}
Combine 36\sqrt{3} and -9\sqrt{3} to get 27\sqrt{3}.