simplify. $sqrt{27}$

Explanation:

Step1: Factorize the number inside square - root

We know that $27 = 9\times3$. So, $\sqrt{27}=\sqrt{9\times3}$.

Step2: Use the property of square - roots $\sqrt{ab}=\sqrt{a}\times\sqrt{b}$ ($a = 9$, $b = 3$)

$\sqrt{9\times3}=\sqrt{9}\times\sqrt{3}$.

Step3: Calculate the square - root of 9

Since $\sqrt{9}=3$, then $\sqrt{9}\times\sqrt{3}=3\sqrt{3}$.

Answer:

$3\sqrt{3}$