Question

The Simplified value of ($\sqrt{3}$ + 1)${}^2$ - 2 (2 + $\sqrt{3}$ ) is

Answer 1

$(\sqrt{3}+1{)}^2-2(2+\sqrt{3})$

$\Rightarrow 3+1+2\sqrt{3}-4-2\sqrt{3}$

$\Rightarrow 4-4+2\sqrt{3}-2\sqrt{3}$

$\Rightarrow 0$

Hence, simplified value of $(\sqrt{3}+1{)}^2-2(2+\sqrt{3})=0$