Evaluate
\frac{5\sqrt{7}}{13}\approx 1.017596658
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\sqrt{\frac{175}{169}}
Reduce the fraction \frac{350}{338} to lowest terms by extracting and canceling out 2.
\frac{\sqrt{175}}{\sqrt{169}}
Rewrite the square root of the division \sqrt{\frac{175}{169}} as the division of square roots \frac{\sqrt{175}}{\sqrt{169}}.
\frac{5\sqrt{7}}{\sqrt{169}}
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}}{13}
Calculate the square root of 169 and get 13.
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