Evaluate
\sqrt{5}-2\sqrt{3}\approx -1.228033638
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-2\sqrt{5}-2\sqrt{3}+3\sqrt{5}
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}.
\sqrt{5}-2\sqrt{3}
Combine -2\sqrt{5} and 3\sqrt{5} to get \sqrt{5}.
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