Evaluate
3\sqrt{3}\approx 5.196152423
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4\sqrt{3}+2\sqrt{3}-3\sqrt{3}
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}.
6\sqrt{3}-3\sqrt{3}
Combine 4\sqrt{3} and 2\sqrt{3} to get 6\sqrt{3}.
3\sqrt{3}
Combine 6\sqrt{3} and -3\sqrt{3} to get 3\sqrt{3}.
Examples
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