Задача 52983 ...

sova

2020-08-06 21:20:08

★

sqrt(48)=sqrt(16*3)=sqrt(16)*sqrt(3)=4sqrt(3)

(5+sqrt(48))^2=(5+4sqrt(3))^2=

=5^2+2*5*4*sqrt(3)+48=73+10*4sqrt(3)=73+40 sqrt(3)



(5+sqrt(48))^2-40 sqrt(3)=73+40 sqrt(3)-40 sqrt(3)=73