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5\times 4\sqrt{3}+\sqrt{12}-6\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}.
20\sqrt{3}+\sqrt{12}-6\sqrt{3}
Multiply 5 and 4 to get 20.
20\sqrt{3}+2\sqrt{3}-6\sqrt{3}
Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.
22\sqrt{3}-6\sqrt{3}
Combine 20\sqrt{3} and 2\sqrt{3} to get 22\sqrt{3}.
16\sqrt{3}
Combine 22\sqrt{3} and -6\sqrt{3} to get 16\sqrt{3}.