The expression you uploaded is asking to simplify $\sqrt{-24}$.

Here’s how to simplify it:

1. Recognize that the square root of a negative number involves an imaginary number. Specifically, $\sqrt{-1} = i$, where $i$ is the imaginary unit.
2. Now, express the square root of $-24$ as: $\sqrt{-24} = \sqrt{-1 \times 24} = \sqrt{-1} \times \sqrt{24} = i \times \sqrt{24}.$
3. Next, simplify $\sqrt{24}$: $\sqrt{24} = \sqrt{4 \times 6} = \sqrt{4} \times \sqrt{6} = 2\sqrt{6}.$
4. Therefore, $\sqrt{-24} = i \times 2\sqrt{6} = 2i\sqrt{6}$.

So, the simplified form of $\sqrt{-24}$ is: $2i\sqrt{6}.$

Would you like further details or have any questions?

Here are 5 related questions to deepen your understanding:

1. How do you handle square roots of other negative numbers?
2. What is the significance of the imaginary unit $i$ in complex numbers?
3. Can square roots of negative numbers be used in real-life applications?
4. How do you simplify radicals like $\sqrt{48}$ or $\sqrt{72}$?
5. How do we multiply or divide expressions involving imaginary numbers?

Tip: When simplifying square roots, always check if the number under the radical can be factored into a perfect square, which can be extracted from the radical for easier simplification.