What is the square root of 24/ the square root of 6?

$\frac{\sqrt{24}}{\sqrt{6}} = \pm 2$
Square roots are easier to deal with when you remember a few rules. First, $\sqrt{x} \cdot \sqrt{y} = \sqrt{x \cdot y}$. Second, $\frac{\sqrt{x}}{\sqrt{y}} = \sqrt{\frac{x}{y}}$.
This problem makes use of the latter rule. We have $\frac{\sqrt{24}}{\sqrt{6}}$. This equals $\sqrt{\frac{24}{6}} = \sqrt{4} = \pm 2$. We must add the plus-or-minus sign because ${2}^{2} = 4$ and ${\left(- 2\right)}^{2} = 4$.