Evaluate
14\sqrt{15}-8\sqrt{3}\approx 40.365360386
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2\sqrt{3}-5\times 2\sqrt{3}+14\sqrt{15}
Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.
2\sqrt{3}-10\sqrt{3}+14\sqrt{15}
Multiply -5 and 2 to get -10.
-8\sqrt{3}+14\sqrt{15}
Combine 2\sqrt{3} and -10\sqrt{3} to get -8\sqrt{3}.
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