Evaluate
4\sqrt{3}+14\sqrt{2}-7\sqrt{14}\approx 0.535591396
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4\sqrt{3}+2\times 7\sqrt{2}-7\sqrt{14}
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}+14\sqrt{2}-7\sqrt{14}
Multiply 2 and 7 to get 14.
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