( 4+2 radical din 3 totul in radical +4- 2 radicaldin 3 totul in radical ) totul la a 2 a

Rezolvarea in atasament

[tex]\it E = \left(\sqrt{4+2\sqrt3}+\sqrt{4-2\sqrt3}\right)^2\\ \\ \\ \sqrt{4+2\sqrt3}= \sqrt{3+1+2\sqrt3}= \sqrt{(\sqrt3)^2+2\sqrt3+1}= \sqrt{(\sqrt3+1)^2}=\\ \\=\sqrt3+1[/tex]

[tex]\it Analog,\ \sqrt{4-\2\sqrt3} =\sqrt3-1\\ \\ E=(\sqrt3+1+\sqrt3-1)^2=(2\sqrt3)^2=4\cdot3=12[/tex]