# How do you simplify the expression (sqrt2+sqrt3)^2?

You work out the expression ${\left(a + b\right)}^{2} = {a}^{2} + 2 a b + {b}^{2}$
$= {\sqrt{2}}^{2} + 2 \cdot \sqrt{2} \cdot \sqrt{3} + {\sqrt{3}}^{2}$
$= 2 + 2 \cdot \sqrt{2 \cdot 3} + 3$
$= 5 + 2 \sqrt{6}$