Question

упростите выражение
$\frac{ \sqrt{48} - \sqrt{3}( \sqrt{12} - \sqrt{3}) }{ \sqrt{3} }$
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Answer 1

$\sqrt{48}=\sqrt{16\cdot 3} =4\sqrt{3} \\\\\sqrt{12}=\sqrt{4\cdot 3} =2\sqrt{3} \\\\\frac{\sqrt{48}-\sqrt{3}(\sqrt{12}-\sqrt{3}) }{\sqrt{3} } =\frac{4\sqrt{3}-\sqrt{3}(2\sqrt{3}-\sqrt{3}) }{\sqrt{3} } =\frac{\sqrt{3}(4-2\sqrt{3}+\sqrt{3} )}{\sqrt{3}} =4-\sqrt{3}$