To simplify \( \frac{\sqrt{24}}{x} \), we can start by simplifying \( \sqrt{24} \).
First, we factor \( 24 \): \[ 24 = 4 \times 6 \]
Next, we can take the square root: \[ \sqrt{24} = \sqrt{4 \times 6} = \sqrt{4} \times \sqrt{6} = 2\sqrt{6} \]
Now we substitute this back into our original expression: \[ \frac{\sqrt{24}}{x} = \frac{2\sqrt{6}}{x} \]
Thus, the simplified form of \( \frac{\sqrt{24}}{x} \) is: \[ \frac{2\sqrt{6}}{x} \]