[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { C) \:7 + 4 \sqrt{3}}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] {( - 2 - \sqrt{3} )}^{2} [/tex]
[tex] = ({ - 2})^{2} - 2.( - 2). \sqrt{3} + { (\sqrt{3}) }^{2} [/tex]
[tex] = 4 + 4 \sqrt{3} + 3[/tex]
[tex] = 7 + 4 \sqrt{3} [/tex]
Note:
[tex] ({a - b})^{2} = {a}^{2} - 2ab + {b}^{2} [/tex]
[tex] \sqrt{a} \times \sqrt{a} = a[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
