Question

$sqrt{8}=$

Explanation:

Step1: Factorize the number inside square - root

$\sqrt{8}=\sqrt{4\times2}$

Step2: Use the square - root property $\sqrt{ab}=\sqrt{a}\times\sqrt{b}$ ($a = 4$, $b = 2$)

$\sqrt{4\times2}=\sqrt{4}\times\sqrt{2}$

Step3: Calculate $\sqrt{4}$

Since $2\times2 = 4$, $\sqrt{4}=2$. So, $\sqrt{4}\times\sqrt{2}=2\sqrt{2}$

Answer:

$2\sqrt{2}$