Come si semplifica (sqrt (3) - 1) / (1 + sqrt (3))?
Risposta:
#2-sqrt(3)#
Spiegazione:
#(sqrt(3)-1)/(1+sqrt(3)#=#(-1+sqrt(3))/(1+sqrt(3))#
= #(-1+sqrt(3))/(1+sqrt(3)). (1-sqrt(3))/(1-sqrt(3))#
= #(-1+2sqrt(3)-3)/(1-3)#= #(2sqrt(3)-4)/(-2)#
= #2-sqrt(3)#