Question

Simplify\left(2-\sqrt{3}\right)^2

Answer 1

$\implies {\blue {\boxed {\boxed {\purple {\sf { C) \:7 + 4 \sqrt{3}}}}}}}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

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

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

$= 4 + 4 \sqrt{3} + 3$

$= 7 + 4 \sqrt{3}$

Note:

$({a - b})^{2} = {a}^{2} - 2ab + {b}^{2}$

$\sqrt{a} \times \sqrt{a} = a$

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