Question

simplify
\sqrt{24}

Explanation:

Step1: Factor 24 into perfect square

$24 = 4 \times 6$

Step2: Split square root using product rule

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

Step3: Simplify $\sqrt{4}$

$\sqrt{4} = 2$

Step4: Combine terms

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

Answer:

$2\sqrt{6}$