Rationalize the Denominator and Simplify $\frac{\sqrt{3}+1}{4+\sqrt{2}}$ A) $\frac{\sqrt{3}-\sqrt{6}+4-\sqrt{2}}{14}$ B) $\frac{4 \sqrt{3}-\sqrt{6}+4-\sqrt{2}}{14+8 \sqrt{2}}$ C) $\frac{4 \sqrt{3}+\sqrt{6}+4+\sqrt{2}}{14}$

Multiple Choice

Rationalize the denominator and simplify.
- $\frac{\sqrt{3}+1}{4+\sqrt{2}}$

A) $\frac{\sqrt{3}-\sqrt{6}+4-\sqrt{2}}{14}$
B) $\frac{4 \sqrt{3}-\sqrt{6}+4-\sqrt{2}}{14+8 \sqrt{2}}$
C) $\frac{4 \sqrt{3}+\sqrt{6}+4+\sqrt{2}}{14}$
D) $\frac{4 \sqrt{3}-\sqrt{6}+4-\sqrt{2}}{14}$