Question

simply fy
$\sqrt{2 + \sqrt{3} {)}^{2}$
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Answer 1

Answer:

See this.

Step-by-step explanation:

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Answer 2

Question:

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

Answer:

$\underline\bold{7+ 4 \sqrt{3}}$

Step-by-step explanation:

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

We know that,

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

$here, \: a = 2, \: b = \sqrt{3}$

Now,

$\implies {(2)}^{2} + 2(2)( \sqrt{3}) + { \sqrt{3} }^{2}$

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

$\implies \boxed{7 + 4 \sqrt{3} }$

Identity used:

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

${ \sqrt{x} }^{2} = x$

$Thus\: { \sqrt{3} }^{2} = 3$