1. **State the problem:** Find the value of $\sqrt{24}$.\n\n2. **Recall the formula and rules:** The square root of a number $x$ is a value that, when multiplied by itself, gives $x$. We can simplify square roots by factoring the number into perfect squares.\n\n3. **Factor 24:** $24 = 4 \times 6$. Since 4 is a perfect square, we can write:\n$$\sqrt{24} = \sqrt{4 \times 6}$$\n\n4. **Use the property of square roots:** $\sqrt{a \times b} = \sqrt{a} \times \sqrt{b}$. So,\n$$\sqrt{24} = \sqrt{4} \times \sqrt{6}$$\n\n5. **Simplify:** $\sqrt{4} = 2$, so\n$$\sqrt{24} = 2 \sqrt{6}$$\n\n6. **Final answer:** $\sqrt{24} = 2 \sqrt{6}$, which is the simplified form.