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5\sqrt{3}+4\sqrt{3}
Factor 75=5^{2}\times 3. Rewrite the square root of the product \sqrt{5^{2}\times 3} as the product of square roots \sqrt{5^{2}}\sqrt{3}. Take the square root of 5^{2}.
9\sqrt{3}
Combine 5\sqrt{3} and 4\sqrt{3} to get 9\sqrt{3}.