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\frac{\sqrt{1}}{\sqrt{179}}
Rewrite the square root of the division \sqrt{\frac{1}{179}} as the division of square roots \frac{\sqrt{1}}{\sqrt{179}}.
\frac{1}{\sqrt{179}}
Calculate the square root of 1 and get 1.
\frac{\sqrt{179}}{\left(\sqrt{179}\right)^{2}}
Rationalize the denominator of \frac{1}{\sqrt{179}} by multiplying numerator and denominator by \sqrt{179}.
\frac{\sqrt{179}}{179}
The square of \sqrt{179} is 179.