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\frac{\sqrt{269}\sqrt{14}}{\left(\sqrt{14}\right)^{2}}
Rationalize the denominator of \frac{\sqrt{269}}{\sqrt{14}} by multiplying numerator and denominator by \sqrt{14}.
\frac{\sqrt{269}\sqrt{14}}{14}
The square of \sqrt{14} is 14.
\frac{\sqrt{3766}}{14}
To multiply \sqrt{269} and \sqrt{14}, multiply the numbers under the square root.