Автор - Xleb4ik

Нужна поиощь!
(1-√10)/(√2+√5)

Ответ

Проверено экспертом

Автор - kirichekov
(1-√10)(√2+√5)=1*√2-√10*√2+1*√5-√10*√5=√2-√20+√5-√50=√2-√4*√5+√5-√25*√2=√2-2√5+√5-5√2=-√5-4√2

Ответ

Автор - artalex74
 frac{1- sqrt{10}}{sqrt{2}+ sqrt{5}} = frac{1- sqrt{10}}{sqrt{2}+ sqrt{5}} * frac{sqrt{2}- sqrt{5}}{sqrt{2}- sqrt{5}} =frac{ sqrt{2}-sqrt{20}-sqrt{5} +sqrt{50}}{2-5}=frac{ sqrt{2}-2sqrt{5}-sqrt{5} +5sqrt{2}}{-3}=\ = frac{ 6sqrt{2}-3sqrt{5}}{-3}=sqrt{5}-2sqrt{2}.

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