Evaluate
\frac{5\sqrt{157}}{157}\approx 0.399043442
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\sqrt{\frac{25}{157}}
Reduce the fraction \frac{100}{628} to lowest terms by extracting and canceling out 4.
\frac{\sqrt{25}}{\sqrt{157}}
Rewrite the square root of the division \sqrt{\frac{25}{157}} as the division of square roots \frac{\sqrt{25}}{\sqrt{157}}.
\frac{5}{\sqrt{157}}
Calculate the square root of 25 and get 5.
\frac{5\sqrt{157}}{\left(\sqrt{157}\right)^{2}}
Rationalize the denominator of \frac{5}{\sqrt{157}} by multiplying numerator and denominator by \sqrt{157}.
\frac{5\sqrt{157}}{157}
The square of \sqrt{157} is 157.
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