# How do you simplify 2sqrt3/sqrt6#?

$2 \cdot \frac{\sqrt{3}}{\sqrt{6}} = 2 \cdot \frac{\sqrt{3}}{\sqrt{3 \cdot 2}} = 2 \cdot \frac{\sqrt{\cancel{3}}}{\sqrt{\cancel{3} \cdot 2}} = \frac{2}{\sqrt{2}} = \frac{\sqrt{2 \cdot 2}}{\sqrt{2}} = \frac{\sqrt{\cancel{2} \cdot 2}}{\sqrt{\cancel{2}}} = \sqrt{2}$