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\frac{7\sqrt{2}\sqrt{7}}{\left(\sqrt{7}\right)^{2}}
Rationalize the denominator of \frac{7\sqrt{2}}{\sqrt{7}} by multiplying numerator and denominator by \sqrt{7}.
\frac{7\sqrt{2}\sqrt{7}}{7}
The square of \sqrt{7} is 7.
\frac{7\sqrt{14}}{7}
To multiply \sqrt{2} and \sqrt{7}, multiply the numbers under the square root.
\sqrt{14}
Cancel out 7 and 7.