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\frac{\sqrt{625}}{\sqrt{574}}
Rewrite the square root of the division \sqrt{\frac{625}{574}} as the division of square roots \frac{\sqrt{625}}{\sqrt{574}}.
\frac{25}{\sqrt{574}}
Calculate the square root of 625 and get 25.
\frac{25\sqrt{574}}{\left(\sqrt{574}\right)^{2}}
Rationalize the denominator of \frac{25}{\sqrt{574}} by multiplying numerator and denominator by \sqrt{574}.
\frac{25\sqrt{574}}{574}
The square of \sqrt{574} is 574.