simplify $sqrt{18}$. \n$2sqrt{3}$\n$2sqrt{9}$\n$3sqrt{2}$\n$9sqrt{2}$
simplify $sqrt{18}$. \n$2sqrt{3}$\n$2sqrt{9}$\n$3sqrt{2}$\n$9sqrt{2}$
Answer
Explanation:
Step1: Factorize 18
We know that $18 = 9\times2$. So, $\sqrt{18}=\sqrt{9\times2}$.
Step2: Use square - root property
According to the property $\sqrt{ab}=\sqrt{a}\times\sqrt{b}$ ($a = 9$, $b = 2$ and $a\geq0$, $b\geq0$), we have $\sqrt{9\times2}=\sqrt{9}\times\sqrt{2}$.
Step3: Calculate $\sqrt{9}$
Since $\sqrt{9}=3$, then $\sqrt{9}\times\sqrt{2}=3\sqrt{2}$.
Answer:
C. $3\sqrt{2}$