Evaluate
16\sqrt{15}+6874\sqrt{3}\approx 11968.084984768
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2\sqrt{3}\left(3437+4\times 2\sqrt{5}\right)
Factor 20=2^{2}\times 5. Rewrite the square root of the product \sqrt{2^{2}\times 5} as the product of square roots \sqrt{2^{2}}\sqrt{5}. Take the square root of 2^{2}.
2\sqrt{3}\left(3437+8\sqrt{5}\right)
Multiply 4 and 2 to get 8.
6874\sqrt{3}+16\sqrt{3}\sqrt{5}
Use the distributive property to multiply 2\sqrt{3} by 3437+8\sqrt{5}.
6874\sqrt{3}+16\sqrt{15}
To multiply \sqrt{3} and \sqrt{5}, multiply the numbers under the square root.
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