Simplify  $3\sqrt{24}\div\sqrt{8}$3√24÷√8​ .The simplified expression is

To simplify the expression $3\sqrt{24}\div\sqrt{8}$, follow these steps:

1. Break down the square roots into their simplest form. The square root of 24 can be simplified to $2\sqrt{6}$ and the square root of 8 can be simplified to $2\sqrt{2}$.

2. Substitute these simplified square roots back into the original expression. This gives you $3*2\sqrt{6}\div2\sqrt{2}$.

3. Simplify the expression by cancelling out the common factors. The 2 in the numerator and denominator cancel out, leaving you with $3\sqrt{6}\div\sqrt{2}$.

4. To get rid of the square root in the denominator, multiply the numerator and denominator by $\sqrt{2}$. This gives you $3\sqrt{12}\div2$.

5. Simplify the square root in the numerator to get $6\sqrt{3}\div2$.

6. Finally, divide the numerator by the denominator to get the simplified expression, which is $3\sqrt{3}$.