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Okay, so it's somewhat more numeric than the others, but I quite enjoy the simplicity of:

Simplify:

$$\sqrt{3+\sqrt2}$$$\sqrt{2+\sqrt3}$$
show/hide this revision's text 1 [made Community Wiki]

Okay, so it's somewhat more numeric than the others, but I quite enjoy the simplicity of:

Simplify:

$$\sqrt{3+\sqrt2}$$