Evaluate
\frac{\sqrt{2}}{6}\approx 0.23570226
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\frac{1}{3\sqrt{2}}
Combine \sqrt{2} and 2\sqrt{2} to get 3\sqrt{2}.
\frac{\sqrt{2}}{3\left(\sqrt{2}\right)^{2}}
Rationalize the denominator of \frac{1}{3\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.
\frac{\sqrt{2}}{3\times 2}
The square of \sqrt{2} is 2.
\frac{\sqrt{2}}{6}
Multiply 3 and 2 to get 6.
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