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\frac{\sqrt{2}}{6\left(\sqrt{2}\right)^{2}}
Rationalize the denominator of \frac{1}{6\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.
\frac{\sqrt{2}}{6\times 2}
The square of \sqrt{2} is 2.
\frac{\sqrt{2}}{12}
Multiply 6 and 2 to get 12.