Question

1. $sqrt{12}=$

Explanation:

Step1: Prime - factorize 12

$12 = 4\times3$

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

$\sqrt{12}=\sqrt{4\times3}=\sqrt{4}\times\sqrt{3}$

Step3: Evaluate $\sqrt{4}$

$\sqrt{4}=2$, so $\sqrt{12}=2\sqrt{3}$

Answer:

$2\sqrt{3}$