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\sqrt{\frac{5}{11}}
Add 7 and 4 to get 11.
\frac{\sqrt{5}}{\sqrt{11}}
Rewrite the square root of the division \sqrt{\frac{5}{11}} as the division of square roots \frac{\sqrt{5}}{\sqrt{11}}.
\frac{\sqrt{5}\sqrt{11}}{\left(\sqrt{11}\right)^{2}}
Rationalize the denominator of \frac{\sqrt{5}}{\sqrt{11}} by multiplying numerator and denominator by \sqrt{11}.
\frac{\sqrt{5}\sqrt{11}}{11}
The square of \sqrt{11} is 11.
\frac{\sqrt{55}}{11}
To multiply \sqrt{5} and \sqrt{11}, multiply the numbers under the square root.