Evaluate
3\left(\sqrt{2}-2\sqrt{6}\right)\approx -10.45429777
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\sqrt{6}\sqrt{3}-6\sqrt{6}
Use the distributive property to multiply \sqrt{6} by \sqrt{3}-6.
\sqrt{3}\sqrt{2}\sqrt{3}-6\sqrt{6}
Factor 6=3\times 2. Rewrite the square root of the product \sqrt{3\times 2} as the product of square roots \sqrt{3}\sqrt{2}.
3\sqrt{2}-6\sqrt{6}
Multiply \sqrt{3} and \sqrt{3} to get 3.
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