Evaluate
\frac{\sqrt{2}\left(\sqrt{10}-1\right)}{5}\approx 0.611584479
Factor
\frac{\sqrt{2} {(\sqrt{2} \sqrt{5} - 1)}}{5} = 0.611584478525297
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\frac{2\sqrt{5}}{5}-\frac{\sqrt{2}}{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}.
\frac{2\sqrt{5}-\sqrt{2}}{5}
Since \frac{2\sqrt{5}}{5} and \frac{\sqrt{2}}{5} have the same denominator, subtract them by subtracting their numerators.
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