# How do you simplify sqrt207 ?

May 3, 2018

$= 3 \sqrt{23}$
First, factor $207$:
$= 3 \cdot 3 \cdot 23$ Therefore,
$\sqrt{207} = \sqrt{3 \cdot 3 \cdot 23}$ We can factor out $3$ because it appears twice:
$= 3 \sqrt{23}$. $23$ is a prime number so this is the simplest form.