Question

вычислить:
$\sqrt{28 - 6 \sqrt{3} }$
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Answer 1

$\sqrt{28-6\sqrt{3} }=\sqrt{27-6\sqrt{3}+1 }=\sqrt{(3\sqrt{3})^{2}-2*3\sqrt{3}*1+1^{2}}=\\\\=\sqrt{(3\sqrt{3}-1)^{2}}=|3\sqrt{3}-1|=\boxed{3\sqrt{3}-1}$