$$(8+2 \sqrt{ 3 } )(8- \sqrt{ 12 } )$$
$52$
$$\left(8+2\sqrt{3}\right)\left(8-2\sqrt{3}\right)$$
$$8^{2}-\left(2\sqrt{3}\right)^{2}$$
$$64-\left(2\sqrt{3}\right)^{2}$$
$$64-2^{2}\left(\sqrt{3}\right)^{2}$$
$$64-4\left(\sqrt{3}\right)^{2}$$
$$64-4\times 3$$
$$64-12$$
$$52$$
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$2^{2}\times 13$