Question

(3√2-2√3)²:(3√2+2√3) la puterea -2

Answer 1

putere negativa inseamna ca se rastoarna numarul deci vom avea initial
(3√2-2√3)²/(3√2+2√3) iar apoi, rasturnat si ridicat la a 2 a
(3√2+2√3)²/(3√2-2√3)^4=
=(18+12√6+12)/(18-12√6+12)²=
=(30+12√6)/(30-12√6)²=
=6(5+2√6)/6²(5-2√6)²=
=(5+2√6)/6(25-20√6+24)=
=(5+2√6)/6(49-20√6)

daca doar paranteza a doua este la -2, atunci
(3√2-2√3)² · 1/(3√2+2√3)^(-2)=  (impartirea inseamna inmultire cu inversul)
(3√2-2√3)² · (3√2+2√3)²= (produsul sumei cu diferenta)
= (18-12)²=36