Evaluate
\sqrt{2}-4\sqrt{5}\approx -7.530058348
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\sqrt{5}-5\sqrt{5}+\sqrt{2}
Factor 125=5^{2}\times 5. Rewrite the square root of the product \sqrt{5^{2}\times 5} as the product of square roots \sqrt{5^{2}}\sqrt{5}. Take the square root of 5^{2}.
-4\sqrt{5}+\sqrt{2}
Combine \sqrt{5} and -5\sqrt{5} to get -4\sqrt{5}.
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