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\frac{\sqrt{19}}{\sqrt{7}}
Rewrite the square root of the division \sqrt{\frac{19}{7}} as the division of square roots \frac{\sqrt{19}}{\sqrt{7}}.
\frac{\sqrt{19}\sqrt{7}}{\left(\sqrt{7}\right)^{2}}
Rationalize the denominator of \frac{\sqrt{19}}{\sqrt{7}} by multiplying numerator and denominator by \sqrt{7}.
\frac{\sqrt{19}\sqrt{7}}{7}
The square of \sqrt{7} is 7.
\frac{\sqrt{133}}{7}
To multiply \sqrt{19} and \sqrt{7}, multiply the numbers under the square root.