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\frac{\sqrt{9}}{\sqrt{14}}
Rewrite the square root of the division \sqrt{\frac{9}{14}} as the division of square roots \frac{\sqrt{9}}{\sqrt{14}}.
\frac{3}{\sqrt{14}}
Calculate the square root of 9 and get 3.
\frac{3\sqrt{14}}{\left(\sqrt{14}\right)^{2}}
Rationalize the denominator of \frac{3}{\sqrt{14}} by multiplying numerator and denominator by \sqrt{14}.
\frac{3\sqrt{14}}{14}
The square of \sqrt{14} is 14.