Question

Сократите дробь: (5+√10)/(√5)
(х+2√5х+5)/(х-5)

Answer 1

$1)frac{5+ sqrt{10} }{ sqrt{5} }= frac{ sqrt{5}( sqrt{5} + sqrt{2}) }{ sqrt{5} }= sqrt{5} + sqrt{2}, \ 2) frac{ x +2 sqrt{5x}+5}{x-5}= frac{ ( sqrt{x} + sqrt{5}) ^{2} }{ (sqrt{x} - sqrt{5})(sqrt{x} + sqrt{5}) } = frac{(sqrt{x} + sqrt{5})}{(sqrt{x} - sqrt{5})}$