Efectuati (radical din 3-radical din 5)2

Răspuns :

(√3-√5)^2=3-2*√3*√5+5=8-2√15
[tex](\sqrt3-\sqrt5)^2 = \\ \\ = \sqrt3^2-2\cdot \sqrt3\cdot \sqrt5+\sqrt5^2 = \\ \\ = 3-2\sqrt{3\cdot 5}+5 = \\ \\ = 3+5-2\sqrt{15} = \\ \\ = 8-2\sqrt{15}[/tex]