To calculate: The simplified form of the expression, frac{8 - sqrt{48}}{6}

The simplified form of the expression, $\frac{8-\sqrt{48}}{6}is\underset{―}{\frac{4-3\sqrt{3}}{3}}$
Given Information:
The given expression is $\frac{8-\sqrt{48}}{6}$
Calculation:
Consider the expression, $\frac{8-\sqrt{48}}{6}$
First, write $48as{4}^2\times 3$and then simplify as follows:
$\frac{8-\sqrt{48}}{6}=\frac{8-\sqrt{4^2}\times 3}{6}$
$=\frac{8-4\sqrt{3}}{6}$
$=\frac{2\text{⧸}4(2-\sqrt{3})}{3\text{⧸}6}$
$=\frac{4-2\sqrt{3}}{3}$
Therefore, the simplified form of $\frac{8-\sqrt{48}}{6}is\frac{4-2\sqrt{3}}{3}$