To simplify the radical expression $\sqrt{24}$, we start by factoring 24 into its prime factors:

$24 = 4 \times 6$

Now, we know that $4$ is a perfect square, so we can simplify the square root:

$\sqrt{24} = \sqrt{4 \times 6} = \sqrt{4} \times \sqrt{6} = 2\sqrt{6}$

Thus, the simplified form of $\sqrt{24}$ is:

$2\sqrt{6}$

Would you like more details or further explanation on simplifying square roots?

Here are five related questions for further exploration:

1. How do you simplify square roots of other numbers, such as $\sqrt{36}$?
2. What is the process for simplifying cube roots or higher-order roots?
3. Can you simplify expressions like $\sqrt{48}$ or $\sqrt{72}$ in a similar way?
4. How do you handle variables when simplifying radicals, such as $\sqrt{a^2b}$?
5. What’s the difference between simplifying a radical expression and rationalizing the denominator?

Tip: Always look for perfect square factors in the number under the square root, as they make simplification easier.