Evaluate
\sqrt{5}\approx 2.236067977
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2\times 2\sqrt{5}-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}.
4\sqrt{5}-3\sqrt{5}
Multiply 2 and 2 to get 4.
\sqrt{5}
Combine 4\sqrt{5} and -3\sqrt{5} to get \sqrt{5}.
Examples
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