# How do you simplify  (sqrt3 - 2)^2?

${\left(\sqrt{3} - 2\right)}^{2} = \left(\sqrt{3} - 2\right) \left(\sqrt{3} - 2\right)$
$= \left(\sqrt{3}\right) \left(\sqrt{3}\right) - 2 \sqrt{3} - 2 \sqrt{3} - 2 \left(- 2\right)$
$= 3 - 4 \sqrt{3} + 4$
$= 7 - 4 \sqrt{3}$