Question

90√3+2√3•{18√2-3√3•[8√6-3(2√6-5√3)]} Calculati va roooooog. Raspunsul este -180√3

Answer 1

[tex]90\sqrt3+2\sqrt3\cdot\{18\sqrt2-3\sqrt3[8\sqrt6-3(2\sqrt6-5\sqrt3)]\}=\\ 90\sqrt3+2\sqrt3\cdot\{18\sqrt2-3\sqrt3\cdot[8\sqrt6-6\sqrt6+15\sqrt3]\}=\\ 90\sqrt3+2\sqrt3\cdot\{18\sqrt2-3\sqrt3\cdot[2\sqrt6+15\sqrt3]\}=\\ 90\sqrt3+2\sqrt3\cdot\{18\sqrt2-6\sqrt{18}-135\}=\\ 90\sqrt3+2\sqrt3\cdot\{18\sqrt2-18\sqrt2-135\}=\\ 90\sqrt3-270\sqrt3=-180\sqrt3\\ [/tex]