Question

Find the value of $(\sqrt{7}-\sqrt{3}{)}^2+(\sqrt{7}+\sqrt{3}{)}^2$

Answer 1

Consider the given expression,

$\Rightarrow {(\sqrt{7}-\sqrt{3})}^2+{(\sqrt{7}+\sqrt{3})}^2$

$\Rightarrow {\sqrt{7}}^2+{\sqrt{3}}^2-2\sqrt{7}.\sqrt{3}+{\sqrt{7}}^2+{\sqrt{3}}^2+2\sqrt{7}.\sqrt{3}$

$\Rightarrow 2.{\sqrt{7}}^2.{\sqrt{3}}^2$

$\Rightarrow \mathrm{2.7.3}$

$\Rightarrow 63$

Hence, this is the answer.