simplify.\n$sqrt{12}$

Explanation:

Step1: Factorize the number inside square - root

Express 12 as a product of its prime - factors. $12 = 4\times3$. So, $\sqrt{12}=\sqrt{4\times3}$.

Step2: Use the square - root property $\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}$ ($a = 4$, $b = 3$)

$\sqrt{4\times3}=\sqrt{4}\cdot\sqrt{3}$.

Step3: Calculate the square - root of 4

Since $\sqrt{4}=2$, then $\sqrt{4}\cdot\sqrt{3}=2\sqrt{3}$.

Answer:

$2\sqrt{3}$