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\frac{\sqrt{1106}}{\sqrt{5}}
Rewrite the square root of the division \sqrt{\frac{1106}{5}} as the division of square roots \frac{\sqrt{1106}}{\sqrt{5}}.
\frac{\sqrt{1106}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}
Rationalize the denominator of \frac{\sqrt{1106}}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
\frac{\sqrt{1106}\sqrt{5}}{5}
The square of \sqrt{5} is 5.
\frac{\sqrt{5530}}{5}
To multiply \sqrt{1106} and \sqrt{5}, multiply the numbers under the square root.