Question

Buna ziua. va rog rezolvati aceste doua exerciti. Detaliate. dau puncte

(-4√3)*(2√2)*(5√5)=

(-36√72):(+9√2)=

Answer 1

[tex](-4\sqrt{3})\cdot(2\sqrt{2})\cdot(5\sqrt{5})=-8\sqrt{3\cdot2}\cdot5\sqrt{5}=-40\sqrt{3\cdot2\cdot5}=-40\sqrt{30}\\ \\ 72=2^3\cdot3^2\Leftrightarrow\sqrt{72}=3\cdot2\cdot\sqrt{2}=6\sqrt{2}\\ \\ (-36\sqrt{72}):(+9\sqrt{2})=-36\cdot6\sqrt{2}:9\sqrt{2}=\frac{-36\cdot6\sqrt{2}}{9\sqrt{2}}\\ \:(simplific\u am\;prin\;9\sqrt{2})\\ \\ =-4\cdot6=-24[/tex]