simplify.\n$sqrt{18}$

Explanation:

Step1: Factorize the number inside square - root

Express 18 as a product of its prime - factors. $18 = 2\times9=2\times3^{2}$. So, $\sqrt{18}=\sqrt{2\times3^{2}}$.

Step2: Use the square - root property $\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}$ ($a = 2$, $b = 3^{2}$)

$\sqrt{2\times3^{2}}=\sqrt{2}\cdot\sqrt{3^{2}}$.

Step3: Simplify $\sqrt{3^{2}}$

Since $\sqrt{a^{2}}=a$ for $a\geq0$, $\sqrt{3^{2}} = 3$. So, $\sqrt{2}\cdot\sqrt{3^{2}}=3\sqrt{2}$.

Answer:

$3\sqrt{2}$