Evaluate
3\left(\sqrt{2}-2\sqrt{15}\right)\approx -18.99525939
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\sqrt{3}\sqrt{6}-6\sqrt{3}\sqrt{5}
Use the distributive property to multiply \sqrt{3} by \sqrt{6}-6\sqrt{5}.
\sqrt{3}\sqrt{3}\sqrt{2}-6\sqrt{3}\sqrt{5}
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{3}\sqrt{5}
Multiply \sqrt{3} and \sqrt{3} to get 3.
3\sqrt{2}-6\sqrt{15}
To multiply \sqrt{3} and \sqrt{5}, multiply the numbers under the square root.
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