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\sqrt{2}n=2\sqrt{6}
The equation is in standard form.
\frac{\sqrt{2}n}{\sqrt{2}}=\frac{2\sqrt{6}}{\sqrt{2}}
Divide both sides by \sqrt{2}.
n=\frac{2\sqrt{6}}{\sqrt{2}}
Dividing by \sqrt{2} undoes the multiplication by \sqrt{2}.
n=2\sqrt{3}
Divide 2\sqrt{6} by \sqrt{2}.