# How do you simplify the Square root of 48?

In cases like this you factorise the $48$ and see if you can find any squares to be taken out from under the root.
$48 = 16 \cdot 3 = {4}^{2} \cdot 3 \to$
$\sqrt{48} = \sqrt{{4}^{2} \cdot 3} = \sqrt{{4}^{2}} \cdot \sqrt{3} = 4 \sqrt{3}$