Evaluate
\frac{5\sqrt{5}}{4}\approx 2.795084972
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\sqrt{\frac{125}{16}}
Fraction \frac{-125}{-16} can be simplified to \frac{125}{16} by removing the negative sign from both the numerator and the denominator.
\frac{\sqrt{125}}{\sqrt{16}}
Rewrite the square root of the division \sqrt{\frac{125}{16}} as the division of square roots \frac{\sqrt{125}}{\sqrt{16}}.
\frac{5\sqrt{5}}{\sqrt{16}}
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}.
\frac{5\sqrt{5}}{4}
Calculate the square root of 16 and get 4.
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