To solve the expression:

$\sqrt{24} + \sqrt{54} - \sqrt{96}$

we start by simplifying each square root.

1. Simplifying $\sqrt{24}$: $\sqrt{24} = \sqrt{4 \times 6} = \sqrt{4} \times \sqrt{6} = 2\sqrt{6}$

2. Simplifying $\sqrt{54}$: $\sqrt{54} = \sqrt{9 \times 6} = \sqrt{9} \times \sqrt{6} = 3\sqrt{6}$

3. Simplifying $\sqrt{96}$: $\sqrt{96} = \sqrt{16 \times 6} = \sqrt{16} \times \sqrt{6} = 4\sqrt{6}$

Now we substitute these simplified forms back into the original expression:

$2\sqrt{6} + 3\sqrt{6} - 4\sqrt{6}$

Combine like terms:

$(2 + 3 - 4)\sqrt{6} = 1\sqrt{6} = \sqrt{6}$

Thus, the simplified expression is:

$\sqrt{6}$

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

1. How would you simplify $\sqrt{50} + \sqrt{18}$?
2. Can you explain how to simplify square roots that are not perfect squares?
3. What is the difference between simplifying $\sqrt{75}$ and $\sqrt{45}$?
4. How would you simplify $2\sqrt{8} - 3\sqrt{2} + \sqrt{32}$?
5. How can you estimate the value of $\sqrt{6}$ without a calculator?

Tip: When simplifying square roots, always check if you can break the number into a product of a perfect square and another factor!