Evaluate
11\sqrt{3}\approx 19.052558883
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3\sqrt{3}+\sqrt{24}\sqrt{8}
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}+\sqrt{8}\sqrt{3}\sqrt{8}
Factor 24=8\times 3. Rewrite the square root of the product \sqrt{8\times 3} as the product of square roots \sqrt{8}\sqrt{3}.
3\sqrt{3}+8\sqrt{3}
Multiply \sqrt{8} and \sqrt{8} to get 8.
11\sqrt{3}
Combine 3\sqrt{3} and 8\sqrt{3} to get 11\sqrt{3}.
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