Question

Calculati:
a) 6√50-9√32-3√45+4√20-√200+2√80

Answer 1

6$\sqrt{50}$ - 9$\sqrt{32}$ - 3$\sqrt{45}$ + 4$\sqrt{20}$ - $\sqrt{200}$ + 2$\sqrt{80}$ =
= 6x5$\sqrt{2}$ - 9x4$\sqrt{2}$ - 3x3$\sqrt{5}$ + 4x2$\sqrt{5}$ - 10$\sqrt{2}$ + 2x4$\sqrt{5}$ =
= 30$\sqrt{2}$ - 36$\sqrt{2}$ - 9$\sqrt{5}$ + 8$\sqrt{5}$ - 10$\sqrt{2}$ + 8$\sqrt{5}$ =
= -16$\sqrt{2}$ + 7$\sqrt{5}$