Evaluate
3\sqrt{2}-\sqrt{6}\approx 1.793150944
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\sqrt{2}-\sqrt{6}+2\sqrt{2}
Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.
3\sqrt{2}-\sqrt{6}
Combine \sqrt{2} and 2\sqrt{2} to get 3\sqrt{2}.
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