Question

1. $sqrt{18}=$

Explanation:

Step1: Factorize 18

$18 = 9\times2$

Step2: Apply square - root property

$\sqrt{18}=\sqrt{9\times2}$
Since $\sqrt{ab}=\sqrt{a}\times\sqrt{b}$ ($a = 9$, $b = 2$ and $a\geq0$, $b\geq0$), we have $\sqrt{9\times2}=\sqrt{9}\times\sqrt{2}$

Step3: Calculate $\sqrt{9}$

$\sqrt{9}=3$
So $\sqrt{18}=3\sqrt{2}$

Answer:

$3\sqrt{2}$