Question

(√3+2)^2
please help​

Answer 1

$\huge \pink {\sf {Identity \: I:}}$

$\large \purple {\sf { {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2}}}$

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$\huge \pink {\sf {Given \: Equation:}}$

$\large \purple {\sf {{( \sqrt{3} + 2) }^{2}}}$

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$\huge \pink {\sf {Solution:}}$

$\large \purple {\sf {{( \sqrt{3}) }^{2} + 2( \sqrt{3} )(2) + {(2)}^{2}}}$

$\large \purple {\sf { = 3 + 4 \sqrt{3} + 4}}$

$\large \purple {\sf {= 7+ 4 \sqrt{3} }}$

⠀

$\huge \pink {\sf {Answer:}}$

$\large \purple {\sf {7+4 \sqrt{3}}}$