Evaluate
4\sqrt{3}+14-18\sqrt{2}-21\sqrt{6}\approx -55.966925491
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14-21\sqrt{6}+4\sqrt{3}-6\times 3\sqrt{2}
Factor 18=3^{2}\times 2. Rewrite the square root of the product \sqrt{3^{2}\times 2} as the product of square roots \sqrt{3^{2}}\sqrt{2}. Take the square root of 3^{2}.
14-21\sqrt{6}+4\sqrt{3}-18\sqrt{2}
Multiply -6 and 3 to get -18.
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