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\frac{4\sqrt{7}\sqrt{2}}{\left(\sqrt{2}\right)^{2}}
Rationalize the denominator of \frac{4\sqrt{7}}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.
\frac{4\sqrt{7}\sqrt{2}}{2}
The square of \sqrt{2} is 2.
\frac{4\sqrt{14}}{2}
To multiply \sqrt{7} and \sqrt{2}, multiply the numbers under the square root.
2\sqrt{14}
Divide 4\sqrt{14} by 2 to get 2\sqrt{14}.