# How do you find the square root 27?

Mar 15, 2018

$= 3 \sqrt{3}$

#### Explanation:

$27$ is not a perfect square so it does it have an exact square root.

$\sqrt{27}$ is an irrational number, but it can be written in surd form:

sqrt27 = sqrt(3xx3xx3

$= 3 \sqrt{3}$

Mar 15, 2018

$\sqrt{27} = 3 \sqrt{3}$

#### Explanation:

First we factorize $27$ and we will get ${3}^{4}$
$\sqrt{27} = {\sqrt{3}}^{2} 3$
$\sqrt{27} = {\sqrt{3}}^{2} \sqrt{3}$
$\sqrt{27} = \cancel{\sqrt{\cancel{{3}^{2}}}} \sqrt{3}$
$\sqrt{27} = 3 \sqrt{3}$