$$\sqrt{ 2 } (1+ \sqrt{ 3 } ) \times \sqrt{ 2 } (1- \sqrt{ 3 } )$$
$-4$
$$2\left(1+\sqrt{3}\right)\left(1-\sqrt{3}\right)$$
$$\left(2+2\sqrt{3}\right)\left(1-\sqrt{3}\right)$$
$$2-2\sqrt{3}+2\sqrt{3}-2\left(\sqrt{3}\right)^{2}$$
$$2-2\left(\sqrt{3}\right)^{2}$$
$$2-2\times 3$$
$$2-6$$
$$-4$$
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