Question

Найдите значение выражения , смотреть Вложение.

Найдите значение выражения , смотреть Вложение.

Answer 1

(7+sqrt(5)+2*(7-sqrt(5))+(7-sqrt(5))^2/(7+sqrt(5)) : 1+(7-sqrt(5))/(7+sqrt(5))=

=7+sqrt(5)+14-2sqrt(5)+((49-14sqrt(5)+5)/(7+sqrt(5)) : (7+sqrt(5)+7-sqrt(5))/(7+sqrt(5))=

=21-sqrt(5)+(54-14sqrt(5))/(7+sqrt(5)) : 14/(7+sqrt(5))=

=((21-sqrt(5))(7+sqrt(5)+(54-14sqrt(5) )/(7+sqrt(5)) * (7+sqrt(5))/14=

=(147+21sqrt(5)-7sqrt(5)-5+54-14sqrt(5))/14=

=(147-5+54)/14=196/14=14