Question

вычислить:
$\sqrt{49 + 8 \sqrt{3} }$
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Answer 1

$\sqrt{49+8\sqrt{3}}=\sqrt{48+8\sqrt{3} +1}=\sqrt{(4\sqrt{3})^{2}+2*4\sqrt{3}*1+1^{2}}=\\\\=\sqrt{(4\sqrt{3}+1)^{2}}=|4\sqrt{3} +1|=\boxed{4\sqrt{3}+1}$