Question

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Answer 1

$frac{( sqrt{10}+1 ) ^{2}-3 }{ sqrt{10}+ sqrt{3}+1 } = frac{( sqrt{10}+1) ^{2} -( sqrt{3} ) ^{2} }{ sqrt{10}+ sqrt{3}+1 } = frac{( sqrt{10}+1- sqrt{3} )*( sqrt{10}+1+ sqrt{3} )}{ sqrt{10}+ sqrt{3}+1 } =$
$= sqrt{10}+1- sqrt{3}$