Question

va rog ajutor la acest exercițiu la mate (✓3+1)×(✓2+1)×(✓3-✓2)

Answer 1

$(\sqrt3+1)\times(\sqrt2+1)\times(\sqrt3-\sqrt2) = \\ \\ = (\sqrt6+\sqrt3+\sqrt2+1)\times(\sqrt3-\sqrt2) = \\ \\ = \Big[(\sqrt6+1)+(\sqrt3+\sqrt2)\Big]\times (\sqrt3-\sqrt2) = \\ \\ = (\sqrt6+1)\times (\sqrt3-\sqrt2) + (\sqrt3+\sqrt2)\times(\sqrt3-\sqrt2) = \\ \\ = \sqrt{18}-\sqrt{12} +\sqrt3-\sqrt2 + 3-2 = \\ \\ = 3\sqrt2-2\sqrt3+\sqrt3-\sqrt2+1 = \\ \\ = 2\sqrt2-\sqrt3+1$