Question

99 puncte !! $(2+ \sqrt{3}) ^{31}*(2- \sqrt{3})^{30} - \sqrt{3}$

trebuie sa dea 2

Answer 1

[tex](2+\sqrt{3})*[(2+\sqrt{3})*(2-\sqrt{3})]^{30}-\sqrt{3}=\\ =(2+\sqrt{3})*(4-3)^{30}-\sqrt{3}=\\ =2+\sqrt{3}-\sqrt{3}=2[/tex]