Evaluate
\frac{5\sqrt{17}}{4}\approx 5.153882032
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\frac{5}{8}\times 2\sqrt{17}
Factor 68=2^{2}\times 17. Rewrite the square root of the product \sqrt{2^{2}\times 17} as the product of square roots \sqrt{2^{2}}\sqrt{17}. Take the square root of 2^{2}.
\frac{5\times 2}{8}\sqrt{17}
Express \frac{5}{8}\times 2 as a single fraction.
\frac{10}{8}\sqrt{17}
Multiply 5 and 2 to get 10.
\frac{5}{4}\sqrt{17}
Reduce the fraction \frac{10}{8} to lowest terms by extracting and canceling out 2.
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