Evaluate
6\sqrt{3}+3\approx 13.392304845
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2\sqrt{3}+\sqrt{9}+\sqrt{48}
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}+3+\sqrt{48}
Calculate the square root of 9 and get 3.
2\sqrt{3}+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}.
6\sqrt{3}+3
Combine 2\sqrt{3} and 4\sqrt{3} to get 6\sqrt{3}.
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