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}$