simplify. $sqrt{24}$

Explanation:

Step1: Prime - factorize 24

$24=2\times2\times2\times3$

Step2: Rewrite the square - root

$\sqrt{24}=\sqrt{2\times2\times2\times3}$

Step3: Use the property $\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}$

$\sqrt{2\times2\times2\times3}=\sqrt{2\times2}\cdot\sqrt{2\times3}$

Step4: Simplify $\sqrt{2\times2}$

$\sqrt{2\times2}\cdot\sqrt{2\times3}=2\sqrt{6}$

Answer:

$2\sqrt{6}$