Evaluate
\frac{5\sqrt{7}}{3}\approx 4.409585518
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\frac{\sqrt{175}}{\sqrt{9}}
Rewrite the square root of the division \sqrt{\frac{175}{9}} as the division of square roots \frac{\sqrt{175}}{\sqrt{9}}.
\frac{5\sqrt{7}}{\sqrt{9}}
Factor 175=5^{2}\times 7. Rewrite the square root of the product \sqrt{5^{2}\times 7} as the product of square roots \sqrt{5^{2}}\sqrt{7}. Take the square root of 5^{2}.
\frac{5\sqrt{7}}{3}
Calculate the square root of 9 and get 3.
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