Evaluate
14\sqrt{3}-3\sqrt{2}\approx 20.006070619
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4\sqrt{3}-3\sqrt{2}+2\times 5\sqrt{3}
Factor 75=5^{2}\times 3. Rewrite the square root of the product \sqrt{5^{2}\times 3} as the product of square roots \sqrt{5^{2}}\sqrt{3}. Take the square root of 5^{2}.
4\sqrt{3}-3\sqrt{2}+10\sqrt{3}
Multiply 2 and 5 to get 10.
14\sqrt{3}-3\sqrt{2}
Combine 4\sqrt{3} and 10\sqrt{3} to get 14\sqrt{3}.
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