Evaluate
6\sqrt{3}\approx 10.392304845
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\sqrt{3}+2\sqrt{3}+\sqrt{27}
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}.
3\sqrt{3}+\sqrt{27}
Combine \sqrt{3} and 2\sqrt{3} to get 3\sqrt{3}.
3\sqrt{3}+3\sqrt{3}
Factor 27=3^{2}\times 3. Rewrite the square root of the product \sqrt{3^{2}\times 3} as the product of square roots \sqrt{3^{2}}\sqrt{3}. Take the square root of 3^{2}.
6\sqrt{3}
Combine 3\sqrt{3} and 3\sqrt{3} to get 6\sqrt{3}.
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