[ 3 + 2 3 - 2 - 3 - 2 3 + 2 ] simplifies to = ?

Answer: Option B

$$\left[\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}-\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}}\right]$$
$$=\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}\times$$   $$\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}+\sqrt{2}}-$$   $$\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}}\times$$  $$\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}-\sqrt{2}}$$
$$\begin{array}{rl}& =\frac{{\left(\sqrt{3}+\sqrt{2}\right)}^2}{3-2}-\frac{{\left(\sqrt{3}-\sqrt{2}\right)}^2}{3-2}\\ & =\left(3+2+2\sqrt{6}\right)-\left(3+2-2\sqrt{6}\right)\\ & =4\sqrt{6}\end{array}$$