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\frac{\sqrt{1}}{\sqrt{97}}
Rewrite the square root of the division \sqrt{\frac{1}{97}} as the division of square roots \frac{\sqrt{1}}{\sqrt{97}}.
\frac{1}{\sqrt{97}}
Calculate the square root of 1 and get 1.
\frac{\sqrt{97}}{\left(\sqrt{97}\right)^{2}}
Rationalize the denominator of \frac{1}{\sqrt{97}} by multiplying numerator and denominator by \sqrt{97}.
\frac{\sqrt{97}}{97}
The square of \sqrt{97} is 97.