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5\sqrt{3}+4\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}.
9\sqrt{3}
Combine 5\sqrt{3} and 4\sqrt{3} to get 9\sqrt{3}.