Evaluate
7\sqrt{3}\approx 12.124355653
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4\sqrt{3}+\sqrt{27}
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}.
4\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}.
7\sqrt{3}
Combine 4\sqrt{3} and 3\sqrt{3} to get 7\sqrt{3}.
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