\frac{\sqrt{84}}{2}}\times\sqrt3\\\\ =\frac{\sqrt{4\times 21}}{2}\times\sqrt3\\\\ =\frac{\sqrt{4}\times \sqrt{21}}{2}\times\sqrt3\\\\ =\frac{2\times \sqrt{21}}{2}\times\sqrt3\\\\ =\sqrt{21}\times\sqrt3\\\\ =\sqrt{7}\times\sqrt3 \sqrt3\\\\ =3\sqrt{7}\\\\
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