Question

question
express in simplest radical form.
√27
answer attempt 2 out of 2

Explanation:

Step1: Factor the number inside radical

Factor 27 as $9\times3$, so $\sqrt{27}=\sqrt{9\times3}$.

Step2: Apply square - root property

According to $\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}$ ($a = 9$, $b = 3$), we have $\sqrt{9\times3}=\sqrt{9}\cdot\sqrt{3}$.

Step3: Simplify $\sqrt{9}$

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

Answer:

$3\sqrt{3}$