# How do you simplify (4+sqrt48)/4?

$1 + \sqrt{3}$
$\frac{4 + \sqrt{48}}{4} = \frac{4 + \sqrt{4 \cdot 4 \cdot 3}}{4} = \frac{4 + 4 \sqrt{3}}{4} = \frac{\cancel{4} \left(1 + \sqrt{3}\right)}{\cancel{4}} = \left(1 + \sqrt{3}\right)$[Ans]