Question

$\sqrt{3 +\sqrt{5}} - \sqrt{3 -\sqrt{5}}$ С РЕШЕНИЕМ

Answer 1

$\sqrt{3+ \sqrt{5} } - \sqrt{3- \sqrt{5} } = \frac{ \sqrt{( \sqrt{5} +1) ^{2} } }{ \sqrt{2} } - \frac{ \sqrt{( \sqrt{5}-1) ^{2} } }{ \sqrt{2} }= \frac{ \sqrt{5}+1- \sqrt{5}+1 }{ \sqrt{2} }= \frac{2}{ \sqrt{2} } =$$\sqrt{2}$