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

May 25, 2017

$7 + 4 \sqrt{3.}$

#### Explanation:

Using the Expansion Formula,

${\left(a + b\right)}^{2} = {a}^{2} + 2 a b + {b}^{2} ,$ we have,

${\left(\sqrt{3} + 2\right)}^{2} = {\sqrt{3}}^{2} + 2 \cdot \sqrt{3} \cdot 2 + {2}^{2} ,$

$= 3 + 4 \sqrt{3} + 4 ,$

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