simplify.\n$sqrt{8}$

Explanation:

Step1: Factorize the number inside square - root

Express 8 as a product of its factors: $8 = 4\times2$. So, $\sqrt{8}=\sqrt{4\times2}$.

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 the square - root of 4

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

Answer:

$2\sqrt{2}$