Question

Arătati ca (√2-2)^2 - (√2-1)^2= (√2-1)^2

Answer 1

Ne folosim de "tehnicile" invatate : (a-b)^2=a^2-2ab+b^2 UNDE A= RADICAL 2 B=2 (RAD.2-2)^2=2- (4radical2) + 4 = 6 - 4radical2 (Rad.2-1)^2=2- 2radical2 +1=3- 2radical2 T- d(asa am notat ecuatia) = 6-4radical2-3+2radical2 =3-2radical2 Si cum putem observa....(rad.2-1)^2= 3-2radical2...astfel am demonstrat ca este echivalenta!