Come si semplifica (sqrt (3) - 1) / (1 + sqrt (3))?
Risposta:
2-sqrt(3)2−√3
Spiegazione:
(sqrt(3)-1)/(1+sqrt(3)√3−11+√3=(-1+sqrt(3))/(1+sqrt(3))−1+√31+√3
= (-1+sqrt(3))/(1+sqrt(3)). (1-sqrt(3))/(1-sqrt(3))−1+√31+√3.1−√31−√3
= (-1+2sqrt(3)-3)/(1-3)−1+2√3−31−3= (2sqrt(3)-4)/(-2)2√3−4−2
= 2-sqrt(3)2−√3