Evaluate
\sqrt{3}\left(\sqrt{6}-4\right)\approx -2.685562543
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\sqrt{3}\sqrt{6}-4\sqrt{3}
Use the distributive property to multiply \sqrt{3} by \sqrt{6}-4.
\sqrt{3}\sqrt{3}\sqrt{2}-4\sqrt{3}
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}-4\sqrt{3}
Multiply \sqrt{3} and \sqrt{3} to get 3.
Examples
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