Evaluate
12\sqrt{3}\approx 20.784609691
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3\sqrt{3}+\sqrt{243}
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}.
3\sqrt{3}+9\sqrt{3}
Factor 243=9^{2}\times 3. Rewrite the square root of the product \sqrt{9^{2}\times 3} as the product of square roots \sqrt{9^{2}}\sqrt{3}. Take the square root of 9^{2}.
12\sqrt{3}
Combine 3\sqrt{3} and 9\sqrt{3} to get 12\sqrt{3}.
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