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2\sqrt{3}+\sqrt{75}+\sqrt{108}
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}.
2\sqrt{3}+5\sqrt{3}+\sqrt{108}
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}.
7\sqrt{3}+\sqrt{108}
Combine 2\sqrt{3} and 5\sqrt{3} to get 7\sqrt{3}.
7\sqrt{3}+6\sqrt{3}
Factor 108=6^{2}\times 3. Rewrite the square root of the product \sqrt{6^{2}\times 3} as the product of square roots \sqrt{6^{2}}\sqrt{3}. Take the square root of 6^{2}.
13\sqrt{3}
Combine 7\sqrt{3} and 6\sqrt{3} to get 13\sqrt{3}.