Задача 23965 sqrt(2+sqrt(9+4sqrt(2)))...

u20715423720

19.02.2018

sqrt(2+sqrt(9+4sqrt(2)))

SOVA

19.02.2018

★

9+4sqrt(2)=1+2*2sqrt(2)+(2sqrt(2))^2=(1+2sqrt(2))^2

sqrt(9+4sqrt(2))=sqrt((1+2sqrt(2))^2)=1+2sqrt(2)

sqrt(2+1+2sqrt(2))=sqrt((1+sqrt(2))^2)=1+sqrt(2)