Question

simplify.
\sqrt{18}

Explanation:

Step1: Factor 18 into 9×2

$\sqrt{18} = \sqrt{9\times2}$

Step2: Use square - root property $\sqrt{ab}=\sqrt{a}\times\sqrt{b}$ ($a\geq0,b\geq0$)

$\sqrt{9\times2}=\sqrt{9}\times\sqrt{2}$

Step3: Simplify $\sqrt{9}$

Since $3^2 = 9$, then $\sqrt{9}=3$. So we have $3\sqrt{2}$

Answer:

$3\sqrt{2}$