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sergiy2304 [10]
3 years ago
8

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

Mathematics
1 answer:
Kobotan [32]3 years ago
6 0

\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}

<h3><u>Note</u>:</h3>

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

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

\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}

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